[HN Gopher] How the US Air Force Ditched the Average and Saved L...
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       How the US Air Force Ditched the Average and Saved Lives
        
       Author : elephant_burger
       Score  : 165 points
       Date   : 2022-07-02 08:27 UTC (14 hours ago)
        
 (HTM) web link (mannhowie.com)
 (TXT) w3m dump (mannhowie.com)
        
       | Foomf wrote:
       | I absolutely love this article, and I like to re-read it every
       | once in a while. It talks about the same thing:
       | https://www.thestar.com/news/insight/2016/01/16/when-us-air-...
        
         | elephant_burger wrote:
         | Thank you for sharing. This is the first chapter from Todd
         | Rose's excellent book The End of Average. In the book, he also
         | touches on the fascinating topic of context. For example there
         | is no such thing as a person's average level of aggression - IF
         | I am around my parents I tend to get aggressive, but IF I am
         | around friends and strangers I am calm.
         | 
         | https://www.penguin.com.au/books/the-end-of-average-97801419...
        
           | giardini wrote:
           | FWIW the face of the statue of the "the typical woman
           | 'Norma'" at
           | https://www.thestar.com/news/insight/2016/01/16/when-us-
           | air-...
           | 
           | resembles Dana Scully of The X-Files.
           | 
           | I also enjoyed Todd Rose's book, which examines the history
           | of (mis-)interpretations and (mis-)uses of the "average":
           | 
           |  _The End of Average_
           | 
           | https://www.amazon.com/End-Average-Unlocking-Potential-
           | Embra...
        
             | leoc wrote:
             | Even Rose's article (I haven't read his book yet so I can't
             | really say about that) tiptoes around what was going on
             | here. It wasn't just a naive application of statistics.
             | Rose gets through the Norma story without mentioning
             | eugenics once, but the whole episode is so obviously part
             | of America's pre-WWII eugenics swoon. Beyond specific
             | beliefs about politics, race or genetics, but linked to
             | them, there was a whole _Zeitgeist_ , the collectivist
             | spirit of the age that gave us Busby Berkeley musical
             | numbers https://www.youtube.com/watch?v=ysvQ5MaUbd8 and the
             | IBM company songbook
             | https://www.networkworld.com/article/2333702/a-history-of-
             | si... . This was a time when it was acceptable, indeed it
             | was progressive, to be violently hostile to difference or
             | defectiveness: see for example _War Against the Weak_
             | https://waragainsttheweak.com/ and, maybe most especially,
             | _The Black Stork_
             | https://global.oup.com/academic/product/the-black-
             | stork-9780... . And of course it's no coincidence that the
             | pioneers of statistics tended to be particular fans of
             | eugenics themselves.
             | 
             | (I am not an expert on anything.)
        
         | coldcode wrote:
         | While its not averages, it is nonetheless interesting view of
         | misleading statistical analysis:
         | https://www.trevorbragdon.com/when-data-gives-the-wrong-solu...
         | about WW2 airplane design.
        
         | leoc wrote:
         | Unfairly or not, the OP does feel like a summary of Todd Rose's
         | own "When U.S. air force discovered the flaw of averages", an
         | excerpt from _The End of Average_ , which you linked there.
         | Rose's article has been strongly upvoted here several times
         | over the years.
        
       | cm2187 wrote:
       | The other massive misuse of average I keep hearing is people
       | referring to the life expectancy at the XVIII century. Yeah it
       | was 40 something but not because it was very rare for people to
       | reach 60, but because the average is dragged down by the high
       | infant mortality rate. Once you reached 20, your life expectancy
       | was a bit lower than today, but it was common for people to reach
       | 60.
       | 
       | And in general people are really bad at thinking in term of
       | distributions. If you discuss averages or percentiles, people
       | identify to that metric like if it applied to every individual of
       | that distribution. That makes the debate on D&I particularly
       | unproductive.
        
         | mdp2021 wrote:
         | It is helpful to say that at first quintile they died at around
         | 10 years of age and at last quintile they died at around 70
         | (with a median at 33). The average may remain 40, but you get a
         | better idea of the distribution.
        
         | kurupt213 wrote:
         | Blood pressure medicine is probably one of the biggest factors
         | in pushing adult life expectancy past 60. Antibiotics get all
         | the credit but I think their biggest demographic impact was
         | reducing child mortality from middle ear infections.
        
         | ackfoobar wrote:
         | > If you discuss averages or percentiles, people identify to
         | that metric like if it applied to every individual of that
         | distribution. That makes the debate on D&I particularly
         | unproductive.
         | 
         | Damore included a graph of overlapping bell curves in his
         | document to illustrate this point. Yet quite a lot of critiques
         | I saw don't seem to understand that.
        
           | jameshart wrote:
           | Overlapping bell curves are ripe for misinterpretation.
           | 
           | Look at the male/female height graphs on
           | https://www.usablestats.com/lessons/normal for example (among
           | the first examples that google came up with).
           | 
           | The thing that stands out is the difference between the bell
           | curves - the area under the male height curve that is not
           | under the female one. (Indeed, on this page, the way they
           | drew their histogram version of the curve they explicitly
           | drew attention to this area)
           | 
           | But this area isn't representative of a meaningful
           | population.
           | 
           | It's just the sum of the _excess_ number of men of a given
           | height over and above the number of women of the same height.
           | 
           | Crucially, the vast majority of men accounted for within that
           | population are still _shorter than some women_.
           | 
           | Unless you are, according to these numbers, over 77" tall -
           | ie, over 6'5" - then there exist women who are taller than
           | you.
           | 
           | Admittedly the population of people taller than you certainly
           | skews heavily male - but for any randomly selected group of
           | men, in most cases it is _possible_ to find a group of just
           | as many women who are all taller.
           | 
           | I personally find that the overlapping bell curve
           | illustration obscures that understanding, making it emphasize
           | more that a small number of below-average men are still
           | taller than some women, and completely hiding the tail of
           | outlier men on the left who are shorter than the vast
           | majority of women...
           | 
           | Stacked histograms are a better way to visualize this kind of
           | faceted distribution - but even that has issues.
        
             | ackfoobar wrote:
             | > the area under the male height curve that is not under
             | the female one.
             | 
             | It's not obvious to me. Yes the height of the male graph is
             | lower, but is spread wider.
             | 
             | > It's just the sum of the excess number of men of a given
             | height over and above the number of women of the same
             | height.
             | 
             | It's simply that the female histogram covers part of the
             | male histogram. It's a bit confusing. If I make the graph I
             | will colour the overlapped parts a different colour.
             | 
             | This is not a problem when we show only the bell curves.
        
         | RcouF1uZ4gsC wrote:
         | > Once you reached 20, your life expectancy was a bit lower
         | than today, but it was common for people to reach 60.
         | 
         | If you were a man. If you were a woman, there was still the
         | high risk of maternal mortality. Add to that the large number
         | of births, and a significant amount of women died during
         | pregnancy/birth/post-birth.
        
         | elephant_burger wrote:
         | To your point, the global "average" life expectancy since the
         | 1700s to today visualized
         | https://ourworldindata.org/grapher/life-expectancy?tab=chart...
        
           | bigDinosaur wrote:
           | How to mislead with data 101!
        
             | jwlit wrote:
             | Indeed, though see the article linked at the bottom of that
             | one, which goes into more of the nuance and has
             | distribution curves etc: https://ourworldindata.org/life-
             | expectancy-how-is-it-calcula...
        
         | kqr wrote:
         | Our World In Data has a plot of conditional life expectancy
         | throughout recent history. It's one of my favourite plots of
         | all time not because it's important, but informative and
         | intuitive.
         | 
         | https://ourworldindata.org/uploads/2013/05/Life-expectancy-b...
        
           | WanderPanda wrote:
           | Nice plot, we should work on steepening those curves to a
           | slope of greater than one
        
           | xeromal wrote:
           | Is that drop in the earlier 1900s localized to the young the
           | spanish flu?
        
           | cm2187 wrote:
           | That's a very interesting plot thank you.
           | 
           | Another very powerful demographic chart that I lost (in case
           | someone knows where it is) is a 3 dimensional chart. Y axis
           | is children per women, X axis is infant mortality, and then
           | there is a slider to look at the evolution through time. All
           | countries are plotted as points.
           | 
           | The reason it is powerful is because by moving the slider you
           | can see the evolution through time. For most now developed
           | countries, infant mortality and children per women both
           | reduced simultaneously as the progress of medicine and the
           | evolution of society have been very gradual. But african
           | countries are following a different path, where the infant
           | mortality collapsed but is not followed by a reduction of
           | children per woman (only a few countries have started to take
           | that turn). That is basically all you need to know to explain
           | the major demographic shift we are about to observe in
           | Africa.
        
             | kqr wrote:
             | Also Our World in Data:
             | https://ourworldindata.org/grapher/fertility-vs-child-
             | mortal...
        
               | cm2187 wrote:
               | It's exactly that, thank you. The version I saw didn't
               | change the scale when you move the slider which makes it
               | easier to see what is going on, but I am pretty sure it
               | must be earlier version of that chart.
        
           | wardedVibe wrote:
           | The Spanish fly/great war dip is staggering
        
             | smcl wrote:
             | And the sharp increase around the mid 1940s is quite
             | remarkable too. I was wondering what caused that, I guess
             | the polio vaccination started getting rolled out but I
             | don't if it was that big of a cause of death.
        
               | kqr wrote:
               | "Methods for mass production of penicillin were patented
               | by Andrew Jackson Moyer in 1945."
               | 
               | Antibiotics are a lifesaver to reckon with.
        
               | smcl wrote:
               | Ahhh of course :D
        
         | Zenst wrote:
         | Issue I have with averages is they never say how worked out as
         | often they will use a method that suits the outcome they wish.
         | You get different results from mode, medium and mean averages
         | and can cherry pick wich one fits the narrative and use that
         | with the label `average` and it's just accepted by the
         | majority.
         | 
         | Personaly ALL averages should list all three averages for
         | context and clarity as they do offer a greater insight.
        
           | stepanhruda wrote:
           | Is this actually very common? "average" is the common word
           | for "mean", I haven't seen anyone to present median or mode
           | as an average.
        
             | Zenst wrote:
             | That's the problem as mean can be skewed and sure it is
             | often the go to use for averages but can slant the data.
             | 
             | example:
             | 
             | data 1, 2, 2, 2, 10
             | 
             | Mean: 3.4 Median: 2 Mode: 2
             | 
             | Nice online tool to easily work these out
             | https://www.calculator.net/mean-median-mode-range-
             | calculator...
        
               | kqr wrote:
               | Depending on the purpose of finding a central tendency of
               | those numbers, I would argue the mean is correct and the
               | others are skewed...
        
               | Zenst wrote:
               | I was always bemused that the average family size was 2.4
               | children as no family fits that average ever. With mode
               | and medium that would not happen.
               | 
               | Of note I have no idea what the average family size is
               | children wise, just going on longstanding data from UK
               | that in itself may be out of date, though does highlight
               | the point.
               | 
               | [EDIT fixed typo]
        
               | kqr wrote:
               | Yet if we set up a game with a penalty proportional to
               | the distance between your guess and the true number of
               | children for a family, and you guess the median or mode,
               | you'll be right more often than I (because I will never
               | be right), but you will also continually be losing money
               | to my guess of the mean.
               | 
               | What matters in real life is generally not how often you
               | are correct, but rather by how much you are wrong. What
               | you need to minimise is not your error rate, but the
               | consequences when you are wrong. You are free to make an
               | infinite amount of mistakes, as long as you are sure to
               | make them in such a way that they are comparatively
               | insignificant.
        
               | Zenst wrote:
               | > Yet if we set up a game with a penalty proportional to
               | the distance between your guess and the true number of
               | children for a family, and you guess the median or mode,
               | you'll be right more often than I (because I will never
               | be right), but you will also continually be losing money
               | to my guess of the mean.
               | 
               | Not sure were you went there, but the point is that you
               | can overdetail in a way that abstracts from reality.
        
               | stepanhruda wrote:
               | Yes, it can be a problem and I agree more context like
               | median or a full histogram should be more common, but I
               | have never seen anyone claim that the average was 2 in
               | your example.
        
               | texaslonghorn5 wrote:
               | While the average value was 3.4, I don't think it would
               | be unfair to suggest the average person would have scored
               | a 2 (or whatever the relevant scenario is).
        
             | kqr wrote:
             | It depends on your definition of "very common" of course,
             | but I have come across people using "average" to mean both
             | "typical" and "most common" and "middle of the range" and
             | "my preference" and a whole slew of other things.
        
         | jarenmf wrote:
         | Indeed, I keep hearing this countless times. People genuinely
         | think that people died in their 30s two centuries ago.
        
           | wizofaus wrote:
           | Pretty sure it was a good deal more common to do so than it
           | is now.
        
           | olddustytrail wrote:
           | They did. Large numbers of them. Often in childbirth.
        
         | inglor_cz wrote:
         | People don't generally understand premodern demography. We have
         | fairly good demographic record of England, where detailed birth
         | and death records were kept.
         | 
         | As of the 18th century, about 30 per cent of people died before
         | reaching adulthood, but this percentage seems to be much higher
         | in urban areas, which acted like population sinks. (Pathogens
         | were really concentrated there.) Once you lived to be 20, you
         | had more than even chance to live to 40, and a good (AFAIK over
         | 35 per cent) chance to live to 60, but the drop-off after that
         | was steep, 70 y.o.s were already uncommon and 80 y.o.s very
         | rare.
         | 
         | Interestingly, cardinals and popes lived significantly longer,
         | 70-somethings were a common sight in conclaves. Easier life, no
         | military threat, good water, almost no risk of famines.
         | 
         | I am writing this from the top of my head, so precise values
         | may differ from my handwaving. But I believe that the values
         | are roughly correct.
        
           | atwood22 wrote:
           | Hmm based on your comment, I think people understand better
           | than you think. Obviously if the life expectancy is 40, then
           | some people live longer. Half of all people who live to 20
           | dying before 40 is probably what most people think of when
           | they think about a 40 year life expectancy.
        
             | Amezarak wrote:
             | I don't know specifically about that time period, but there
             | have been dips and peaks in life expectancy over time. In
             | the latter half of the 19th century in England, life
             | expectancy at adulthood was the same or better than it is
             | today.
             | 
             | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2672390/
             | 
             | There was actually a major, severe DECLINE after that
             | associated with globalization, trade, and further
             | industrialization, which is where many charts begin.
             | 
             | Think about how incredible that is - nothing we would
             | recognize as modern medicine, but adults living just as
             | long. I can't think of any greater indictment of our health
             | in modern civilization, especially given the amount of
             | resources we expend. I mean, just think about - aside from
             | the improvements in child mortality which are almost
             | entirely just from now nearly century old antibiotics and
             | vaccines technology, we spend 20% of our GDP to achieve the
             | same results as the 1850s English who got them for next to
             | nothing in comparison. Progress!
        
             | Darmody wrote:
             | From my experience, people think most people back then
             | lived around 40 years, while some lived less and some lived
             | more.
        
           | elephant_burger wrote:
           | Looking at deaths globally by age as a distribution shows how
           | the average can mislead https://www.google.com/search?q=death
           | s+globally+by+age&rlz=1...
        
           | pxmpxm wrote:
           | IIRC bulk of the gain in average life expectancy over the
           | last 2 centuries came from reducing infant mortality, which
           | had outside impact on the aggregate mean.
        
         | Phiwise_ wrote:
         | People don't generally understand how statistical metrics are
         | supposed to work. The whole point of statistics is to give you
         | reasonable expectations for the possibilities of a space that
         | is both full of variation but well-explored based on what
         | particulars you know already. The problem is that most people
         | don't realize the arithmetic mean is intended to give you the
         | expectations associated with not knowing essentially anything.
         | It's the map you give a stranger in a strange land (am I using
         | that reference right? I haven't actually read the book yet);
         | the way I explain how to get somewhere in my hometown to a
         | family member isn't just not the same as the way I would to
         | somewhere near my new job, but runs a worryingly high chance of
         | making things less clear than if they just tried to do it
         | themselves (well, at least, before the days of google maps. Why
         | does technology have to be so good at ruining metaphors?). When
         | you have, or will have, information, working without it is just
         | asking to get tripped up. This the brilliance of the adjustable
         | cockpits example: The Air Force leadership assumed they
         | couldn't set cockpits to fit their pilots because they didn't
         | currently know which pilot would fly which plane, forgetting
         | that no plane takes off in the Air Force without the leadership
         | telling a particular pilot to get in a particular plane. Once
         | they adopted the life-like "What do I know about Y given what I
         | (will) know about X" approach over the card-table-like "What do
         | I know about Y given I can't know anything about X", seemingly
         | untouchable problems immediately resolved out almost on their
         | own.
         | 
         | We see this immediately and intuitively from the great
         | conditional graph in this comment:
         | https://news.ycombinator.com/item?id=31958102
        
           | nostromo95 wrote:
           | >am I using that reference right?
           | 
           | Looks right to me! Although interestingly it's unclear which
           | book / Book you're referring to, as the expression comes from
           | Exodus 2:22:
           | 
           | "And she bare him a son, and he called his name Gershom: for
           | he said, I have been a stranger in a strange land."
        
         | mrwh wrote:
         | Another way of looking at it is that's even worse though.
         | Today, it's very rare to have to deal with the death of a
         | child; then, almost everyone had to go through that. And to
         | say, "once you reached" should really be "if you reached".
        
         | secabeen wrote:
         | The data point you want to use is the modal age of adult death,
         | but everyone is fixed on the mean age of death, which you
         | correctly note is completely skewed by childhood mortality.
        
         | melling wrote:
         | That's because all probabilities are conditional, and people
         | don't consider that.
         | 
         | These two things helped me to understand probability better.
         | 
         | The Signal and the Noise:
         | 
         | https://www.amazon.com/Signal-Noise-Many-Predictions-Fail-bu...
         | 
         | The videos for Harvard Statistics 110:
         | 
         | https://projects.iq.harvard.edu/stat110/home
        
           | lawrenceyan wrote:
           | This is a great quote. I might have to steal this.
        
       | _the_inflator wrote:
       | Also have a look at Anscombe's Quartet to get literally an
       | overview, what averages can mean:
       | https://en.wikipedia.org/wiki/Anscombe%27s_quartet
        
       | ThomPete wrote:
       | My favorite example of average to illustrate how you can say
       | something factually true, but realistically untrue "Humans on
       | average have one testicle".
        
       | jimhefferon wrote:
       | Another interesting, and very readable, article on the subject is
       | _What does the mean really mean?_
       | https://arxiv.org/abs/2003.01973
        
       | qalmakka wrote:
       | There was this Roman poet, Trilussa, which created a good
       | description of why averages are bad, which is known in Italy as
       | "Trilussa's Chicken"
       | 
       | Roughly translated, it goes as follows:
       | 
       | "Following the current statistics, it turns out you're expected
       | to be able to eat one chicken per year, and, if you can't afford
       | it, it goes into the average anyway, because there's someone else
       | out there eating two".
        
         | huachimingo wrote:
         | It is the same as Nicanor Parra's:
         | 
         | There are two pieces of bread. You eat two. I eat none. Average
         | consumption: one bread per person
        
         | HideousKojima wrote:
         | The average human has one breast and one testicle (give or take
         | a fraction).
        
         | Phiwise_ wrote:
         | Rome had a conception of statistics? That's very interesting.
         | I'd always been told that it was a relatively new science
         | coming from french aristocracy gambling or something.
        
           | mdp2021 wrote:
           | Carlo Salustri, artistically signing with the anagram
           | Trilussa, died in 1950.
        
           | GavinMcG wrote:
           | I too read "Roman" to refer to empire. Maybe because of the
           | Latin-sounding single name, or maybe because I'm used to
           | identifying people by their nationality rather than their
           | city.
        
           | qalmakka wrote:
           | Sorry, it's modern Roman, not ancient. Trilussa wrote in
           | Romanesco, which is a Central Italian dialect (Tuscan and
           | central Italian form a somewhat of a linguistical continuum,
           | while southern Italian and northern languages are not
           | mutually intelligible).
        
       | inetsee wrote:
       | My wife worked on the project to upgrade the C-5 cargo plane's
       | cockpit. She's 5 feet 1 inch tall, so she was chosen as the test
       | person for the 5% end of the usability range. If she couldn't
       | reach or operate a control in the cockpit it was a problem and
       | the control had to be redesigned.
        
         | sib wrote:
         | My wife is 4'10" and often has trouble finding cars in which
         | the driver's seat can be adjusted to fit her... I'm guessing
         | she's well below the 5th percentile (at least in the US).
        
         | swader999 wrote:
         | I hope she doesn't have really long arms.
        
           | Hellbanevil wrote:
        
       | tomohawk wrote:
       | This also comes into play with the current discussion of EVs.
       | People will say, "you don't need that 500 miles of range." Or,
       | "just plug the EV in at night - you don't have to wait at the
       | charger."
       | 
       | That probably works well for _average_ use cases, but not for the
       | outliers.
       | 
       | The great thing about ICE vehicles is you generally don't have to
       | worry about non-average use cases. To reach parity, EVs will need
       | to be chargable in 5 minutes from empty to achieve 500 miles of
       | range, at 5 degrees F, with 5 year old batteries. If you live in
       | California, that may seem like an extreme use case, but it's
       | pretty normal around here.
        
         | Andys wrote:
         | I thought this until I looked at the histogram of private car
         | trip lengths. The vast majority of trips are very short. Its
         | unlikely they're all being done on the same day.
        
           | tomohawk wrote:
           | Next time you have to bug out because there's a hurricane
           | coming, and it's after your commute, so you haven't had time
           | to charge the car, are you going to be regretting your
           | choice? It's 95F out, humid, and your car AC is going full
           | bore as you creep along in traffic to get out of the area.
           | 
           | Yes, that is not an average situation, but there's a lot of
           | peace of mind not having to think about it at all. By the
           | time I get down to 250 miles in my ICE, I can fill up in 5
           | minutes, but still have a very comfortable margin for
           | anything that may happen.
           | 
           | And, worst case, if I run out of gas (never happened in my
           | lifetime)? I can get a gallon of fuel and drive away. How
           | does that work with an EV?
        
             | k__ wrote:
             | Sounds like a very US specific problem to me.
        
               | seansmccullough wrote:
               | A reasonable US-specific problem. EV limitations like
               | this are are why millions of people aren't currently
               | interested in buying EVs. Compared to ICE, and EV car is
               | more expensive, and essentially has the "road trip"
               | feature removed.
        
         | ajconway wrote:
         | Alternatively, the charging infrastructure needs to evolve.
         | Even considering the currently available technology, imagine
         | having 150kW chargers in place of every gas station that we
         | have right now. Install ~20 chargers in the most busy
         | locations, and the average time spent at the station will no be
         | much higher than getting gas.
        
         | formerly_proven wrote:
         | Frankly I do not want to share streets with people who drive
         | 800 km, refuel and drive even more after that in one go.
        
           | qikInNdOutReply wrote:
        
           | jmillikin wrote:
           | There's a joke that goes something like "To an American 200
           | years is a long time, to a European 200km is a long
           | distance".
           | 
           | Driving from San Diego to Sacramento is about 800km; in good
           | weather and light traffic you could cover that in 7 or 8
           | hours. Get up early, drive that first leg, stop for lunch,
           | then keep going (e.g. towards Portland or Seattle).
           | 
           | Of course, an American would usually stop for gas before
           | hitting empty because we're used to the idea of "No food or
           | fuel next 2 hours".
        
             | jfk13 wrote:
             | A couple of decades ago, when I was young(er) and (more)
             | foolish, I several times did the drive between Columbia, SC
             | and Dallas, TX in a single day. It was just a touch over a
             | thousand miles. Idiocy.
        
               | k__ wrote:
               | My grandfather drove us to holiday from Germany to Spain
               | every year.
               | 
               | Took 2-3 days. He slept a few hours in the car at night.
        
               | h2odragon wrote:
               | I once did a whirlwind trip from TN to NM, UT, CO, and
               | back to TN. 5,000+ miles in 5 days. Average speed over
               | 40MPH _with_ some sleep and some meetings included.
               | Idiocy, indeed.
        
             | ghaff wrote:
             | 7 or 8 hours is a pretty long day driving for one person.
             | But people do switch off and, even in New England where
             | distances tend to be shorter, a 5 hour drive up to
             | somewhere like Maine is hardly exceptional.
        
           | pfortuny wrote:
           | There are people who alternate. Married couples, friends,
           | whatever. Happens a lot.
        
         | namdnay wrote:
         | I think the main mistake as concerns EVS (and many other
         | environmental questions) is the belief that tomorrow will have
         | exactly the same comforts as yesterday. If having to wait 45mn
         | every 400km is the biggest price you're paying for the carbon
         | transition, you're very lucky
        
         | gonzo41 wrote:
         | If the EV market could agree on a battery size and
         | configuration, then maybe doing a full swap of a battery could
         | be done like an f1 Pitstop.
         | 
         | Similar to those electric scooters in Asia, Just imagine if you
         | rolled over a pitstop and had the battery quicky taken out from
         | below the car and then a new battery placed back in.
         | 
         | That sort of system could change the economics of building an
         | ev as you could move to a model where users don't really own
         | the battery they rent it for a while until they need a swap.
         | 
         | Or electric cargo bicycles. Because every bike on the road is
         | one less massive car.
        
           | cguess wrote:
           | Battery degradation would limit expectations. "Oh shit, I got
           | one of those old batteries that will only get me 150 miles
           | when I was hoping for 200 to get to my mother-in-law's for
           | Thanksgiving" isn't going to work.
        
             | carlhjerpe wrote:
             | Could be solved by measuring how much charge it takes and
             | bills you for that + some min charge for the change service
             | would be the price, a bit more complex but I reckon the
             | swap service could be made simple enough that it's low
             | cost.
        
             | ljosifov wrote:
             | Then you are going to drive 150 miles and spend extra 3
             | mins to change the battery again - no? Not a big deal, and
             | certainly not a deal breaker. Nah - the pit-stop type
             | battery replacement is the obvious solution to most EV
             | charging problems, but we humans can not execute it. It
             | requires level of coordination and cooperation between
             | companies that we are not easily capable of right now.
        
               | bluGill wrote:
               | Battery replacement works only if you make compromises.
               | EVs are currently designed to put batteries where they
               | fit, a standard battery means much less batteries and
               | thus much less range. Second cars come in different
               | sizes, a swappable battery needs to fit in the smallest
               | car, leaving larger cars with a much to small battery.
               | 
               | Sure it can work, but overall I have to call it a bad
               | compromise.
        
           | PaulRobinson wrote:
           | You're making the mistake of average use cases.
           | 
           | Your first idea requires new, expensive infrastructure that
           | will need maintenance due to mechanical parts. Given charging
           | points are regularly broken at the moment, I don't have high
           | hopes. But even if we overcame that: it's impractical in
           | almost every major city in the World, because you'd have to
           | drastically alter existing spaces, such as filling stations.
           | 
           | This might work in your context, and many others. It might
           | even work for the "average" use case. But for 75% of the
           | developed World (where the EV market is the fastest growing),
           | I'm not convinced.
           | 
           | And the electric cargo bike argument - or bikes in general -
           | work great for the "average" journey, but not many people
           | actually take that journey.
           | 
           | My most frequent drive is 200+ miles in normally wet or cold
           | weather. My next most frequent is 15+ miles in baking hot
           | Summer sunshine in a heavily congested city where I need
           | aircon. Neither would be pleasant on a bike - electric or
           | not.
           | 
           | And I think that's the point of this discussion: engineering
           | for averages is a terrible idea, and most EVs don't work for
           | most journey profiles for most of the World's drivers today,
           | compared to ICE
        
           | giaour wrote:
           | There was an Israeli startup that tried this out ~10 years
           | ago: https://jalopnik.com/battery-swapping-israeli-startup-
           | better...
           | 
           | One problem was that they had chosen one model of car to
           | simplify battery inventory, but the car was not a good fit
           | for their initial markets.
        
           | nradov wrote:
           | Nio is doing battery swapping successfully with their EVs in
           | China.
           | 
           | https://www.nio.com/blog/current-state-ev-battery-swapping
        
           | Hellbanevil wrote:
        
           | spoonjim wrote:
           | I don't think this will ever happen. You will need to
           | inventory $30,000 parts to sell them for $30,005 (if $5 is
           | the cost of the charge). And the cars will have to have tons
           | of design compromises.
        
         | CogitoCogito wrote:
         | EVs don't need to entirely displace ICEs. Many zealots think
         | so, but it isn't even necessary from an environmental
         | perspective.
         | 
         | But I think the main complication comes to ownership. Are you
         | going to own an EV and an ICE? Or are you doing to own and EV
         | and rent an ICE when needed? Or the other way around? And even
         | if you rent it can become complicated. Last weekend I rented a
         | car and it needed to be an EV since I booked it late and that's
         | all that was late. I personally would rather not have dealt
         | with the extra complexity of charging it compared to just
         | putting gas in the tank.
         | 
         | But really I thin the issue is that if we move to EVs it kind
         | of forces some sort of vehicle specialization where it
         | previously didn't feel as necessary. That opens a big can of
         | worms when it comes to changes in lifestyle for many people.
        
           | ghaff wrote:
           | In general, people often don't optimize for their average use
           | case like commuting or going to the grocery store. They
           | optimize for weekend recreation, buying lumber, the
           | occasional long drive off the beaten path, etc. Some of it
           | isn't entirely rational. But it's also the case that, for
           | many of us, renting a car is a bit of a pain and it's often
           | hard to depend on renting a more specialized vehicle if you
           | need one. So if you're just going to own one vehicle, you
           | tend to buy one for the 10-20% case, not the 80% case.
        
           | jdasdf wrote:
           | >EVs don't need to entirely displace ICEs.
           | 
           | They do when ICEs are getting banned.
        
           | AnIdiotOnTheNet wrote:
           | You know what else is going to open a big can of worms when
           | it comes to changes in lifestyle for many people? Climate
           | change.
        
           | bluGill wrote:
           | I'm surprised you can rent an EV. Few hotels have a place to
           | charge them, so there goes the idea of plugging them in
           | overnight, which is the main advantage of EVs
        
             | zoover2020 wrote:
             | In the US maybe. Lot's of countries which offer charge
             | capabilities for EVs everywhere, even at hotels (The
             | Netherlands, Norway etc.).
        
               | hef19898 wrote:
               | I've even seen fast chargers at petrol stations in Tunsia
               | this year, all the way down in the South not to far from
               | the Lybian border.
        
             | chrisseaton wrote:
             | You can go to a normal super-charger while you have
             | breakfast or whatever.
        
       | ngc248 wrote:
       | "If bill gates gets on a bus, on an average everyone in the bus
       | is a billionaire". Read this somewhere and this made me
       | understand why just the average on its own does not say anything.
        
         | texaslonghorn5 wrote:
         | I would agree that on average each bus rider has a billion
         | dollars, but I can't find away to justify that each person is a
         | billionaire on average. Maybe it is because money is continuous
         | whereas billionaire status is binary, so averaging it out
         | doesn't really make sense.
        
       | Helithumper wrote:
       | If you ever check the average, always make sure to _at least_ add
       | in the median. I don't know if there's any special syntax for
       | this with symbols or whatever but having the median,average,and
       | possibly even n together is way better than just the average.
        
       | bigmattystyles wrote:
       | This reveals itself with the Carlin joke about the average person
       | being dumb and that by implication 1/2 of the population is even
       | dumber. Carlin and people who eagerly repeat it don't know about
       | distributions and that intelligence is not a standard
       | distribution. Mea culpa, I used to parrot and believe the joke...
        
         | samatman wrote:
         | Intelligence, as measured, shows a normal distribution. Just
         | like height, grip strength, BMI, and many other human metrics.
         | 
         | Hence the name of a rather notorious book by Charles Murray.
        
         | hodgesrm wrote:
         | I suspect Carlin understood averages and the diversity of
         | intelligence better than your comment implies. He probably was
         | just having fun with the idea. After all, it _is_ a good joke.
        
         | programmer_dude wrote:
         | The median is also an average.
        
           | bigmattystyles wrote:
           | Only in a standard distribution right?
        
             | nostromo95 wrote:
             | Any symmetrical distribution will have the mean equal the
             | median.
        
               | bigmattystyles wrote:
               | But that's the definition of a standard distribution?
               | Intelligence is not, at least I think.
        
               | nostromo95 wrote:
               | AFAIK "standard distribution" is not a defined
               | mathematical term; usually it's shorthand for standard
               | normal distribution.
               | 
               | Can't comment on intelligence distributions.
        
               | ackfoobar wrote:
               | "standard normal distribution" is a normal distribution
               | with mean 0 and s.d. 1.
               | 
               | To talk about whether intelligence follows a (one-
               | dimensional) normal distribution we have to assign a
               | number to it. That number is usually IQ, but by design
               | the raw score is transformed to make IQ scores follow a
               | normal distribution.
               | 
               | So it is trivially true.
               | 
               | If we want to go beyond that, what does it even mean to
               | say, for example, "twice as smart"?
        
               | ackfoobar wrote:
               | Not exactly. This pathological distribution has no mean.
               | https://en.wikipedia.org/wiki/Cauchy_distribution
        
             | programmer_dude wrote:
             | No, the word average is a place holder for measures of
             | central tendencies (like mean, median and mode).
        
       | robg wrote:
       | Probability and statistics should have already replaced algebra
       | and calculus in modern education. People are just really bad at
       | understanding variance and the impacts on what we think we know.
        
         | programmer_dude wrote:
         | This is just foolhardy. These things can be and are taught side
         | by side in many parts of the world.
        
         | BurningFrog wrote:
         | My gut feeling is that the education sector is extremely
         | conservative and keeps teaching whatever is has always teached.
         | 
         | This is one argument for homeschooling, I guess.
        
           | solardev wrote:
           | Anecdata (I wanted to be a teacher earlier on until I
           | actually met a few and heard their stories):
           | 
           | Teachers are generally pretty progressive (both in the
           | political and innovation senses), but the legislation (like
           | Common Core), state & district educational standards, and
           | school boards move more slowly. And in the US, the primary
           | schools are largely funded and overseen by local parents
           | (municipal and state), so the school priorities and cultures
           | partially reflect local priorities.
           | 
           | There's often debate between what individual teachers want to
           | teach (a product of their individual preferences and
           | backgrounds and values) vs what the administration forces
           | them to teach (as a reflection of the political and business
           | realities of their particular school). There's often a
           | personality difference between the two classes too (educators
           | vs admin types), with the former often being (at a
           | stereotype) starry-eyed idealists and the latter being
           | grounded management types with an eye on the numbers of
           | finance and politics; on top of that, there is also often a
           | labor vs mgmt (not quite "owners") divide, with individual
           | teachers being pretty much powerless to teachers' unions
           | being really strong in some districts. Long story short,
           | teachers can't unilaterally change the curricula they teach.
           | 
           | The power struggles affect everything from math (new math,
           | math wars, whether to test it, etc.) to social studies (CRT,
           | Native studies, bilingualism, religious studies) to science
           | (evolution, climate) to business needs (cursive vs typing,
           | algorithms or letterheads), etc.
           | 
           | Far from being a settled matter, our educational system is
           | heavily political and its lack of progress is probably
           | reflective of our divisiveness as a country, where two broad
           | sides keep playing tug-of-war and veering towards the
           | extremes, making tiny gains and losses back and forth.
           | 
           | The kids end up caught in the crossfire. The US, for all the
           | money we pour into education, ends up rather poorly educating
           | its children vs other developed nations: https://en.wikipedia
           | .org/wiki/Programme_for_International_St...
        
             | BurningFrog wrote:
             | If parents are a big influence, I'm not surprised if
             | schools end up teaching about the same things the parents
             | were taught.
        
         | acjohnson55 wrote:
         | You need algebra and calculations calculus to do anything
         | theoretical in probability. But I'm a fan of working backwards
         | from interesting applications of algebra to the fundamentals.
        
       | lkrubner wrote:
       | To bring up an issue relevant to Google and tech, this was my
       | main criticism James Damore, and why I thought Google had grounds
       | to fire him. The First Amendment gives him the right to write an
       | incel-inspired manifesto if he wants to, but the misuse of
       | "average" for political purposes makes him look like an idiot and
       | discredits other work he might do. In his manifesto he argued
       | that the average male is better suited to computer programming
       | than the average female. How is that in any way relevant at
       | Google, which only hires people 4 or 5 or 6 standard deviations
       | away from the norm? Average isn't relevant. Bringing up the
       | average in situations where the average is not relevant is a
       | common mistake, but it is also a very stupid mistake.
       | 
       | https://www.vox.com/identities/2017/8/8/16106728/google-fire...
        
         | JackFr wrote:
         | > Google, which only hires people 4 or 5 or 6 standard
         | deviations away from the norm?
         | 
         | Puh-lease
        
         | [deleted]
        
         | dnissley wrote:
         | > How is that in any way relevant at Google
         | 
         | Because certain people constantly use the fact that there isn't
         | 50/50 gender representation in engineering roles as a way to
         | imply the profession is particularly sexist. It was absolutely
         | relevant to the conversation at hand around "women in stem".
        
         | 6thaccount wrote:
        
         | mojzu wrote:
         | Even without the standard deviations I think averages are an
         | often abused tool. If you take any statement following the
         | lines of "group X is better at task then group Y on average",
         | while it might help you win in the long term in a betting
         | scenario it doesn't actually provide any information on whether
         | any individual from group X is better at the task then any
         | individual from group Y
        
         | whatshisface wrote:
         | > _In his manifesto he argued that the average male is better
         | suited to computer programming than the average female._
         | 
         | That's not what I remember it saying. Are you sure you're
         | remembering it right?
        
           | dharmaturtle wrote:
           | > Women, on average, have more:
           | 
           | > Openness directed towards feelings and aesthetics rather
           | than ideas. Women generally also have a stronger interest in
           | people rather than things, relative to men (also interpreted
           | as empathizing vs. systemizing).
           | 
           | > These two differences in part explain why women relatively
           | prefer jobs in social or artistic areas. More men may like
           | coding because it requires systemizing and even within SWEs,
           | comparatively more women work on front end, which deals with
           | both people and aesthetics.
           | 
           | https://gizmodo.com/exclusive-heres-the-full-10-page-anti-
           | di...
        
       | cosmojg wrote:
       | I find that I want the median or the mode far more often than I
       | want the mean. I don't understand why the latter has subsumed the
       | former. I guess it's easier to calculate?
        
       | t_mann wrote:
       | This is a poor analogy - usage statistics tend to not follow
       | Gaussian distributions, hence the average can be a poor measure
       | of central tendency. Body measurements usually don't have that
       | problem, and I suppose that the average was actually used as the
       | 'starting point', from where pilots could customize. For other
       | distributions, one might actually prefer to opt for a different
       | statistic altogether.
        
       | martincmartin wrote:
       | Average is great when you really care about the total, and want
       | the total expressed per thing. For example, if you make 100
       | investments, the average return is just a way of talking about
       | the total return on all your investments, expressed per
       | investment.
       | 
       | For other uses, it can be very misleading.
        
       | lbriner wrote:
       | Why does this article not even once mention that average could
       | mean "mean", "median" and/or "mode"? Even the title alludes to
       | one of the biggest problems in the domain and that is that many
       | people don't even realise that there is more than one way to
       | measure an average.
       | 
       | There are plenty of examples of where the mean is not
       | representative of the sample and where mode or median would be
       | more realistic, particularly where some large outliers in a
       | relatively small sample would skew the mean.
        
         | kibwen wrote:
         | Likely the same reason that when someone says "mean", they
         | never bother to specify whether they're referring to the
         | arithmetic mean, the geometric mean, or the harmonic mean. :P
        
         | happyopossum wrote:
         | Because for the purposes of the article, it just doesn't
         | matter. The point is to stop distilling data down to a single
         | point, regardless of what math term you want to use.
        
         | asperous wrote:
         | I think because the moral of the story is the same, which is
         | the airforce switched to customizable controls to support the
         | range instead of over focusing on a single "average".
        
       | hamilyon2 wrote:
       | And yet, 70 years afterwards, all we have is average ratings of
       | everything, from tv shows to restaurants. Not to mention
       | inflation, any kind of prices dynamics and wages.
        
         | rahimnathwani wrote:
         | "all we have is average ratings of everything, from tv shows"
         | 
         | IIRC IMDB shows mean ratings, but Rotten Tomatoes shows the %
         | of ratings above a certain threshold. I find the latter more
         | useful.
        
         | sib wrote:
         | And Amazon shows the distribution from 1..5 stars, rather than
         | just an average (I know, plenty of noise/garbage in there
         | still...)
        
         | [deleted]
        
         | toss1 wrote:
         | Yup, and the most common usage is product ratings on Amazon,
         | which I find a complete waste of time, even before they became
         | corrupted by massive rating-spamming. The metric I find useful
         | is the ratio of negative (1-2 star) reviews to positive, in the
         | product category (some categories seem to have higher usage
         | failure rates, or POd users or something).
         | 
         | The average is a waste of time
        
           | jotm wrote:
           | It's still possible to get somewhat of an accurate
           | understanding of what you're buying if you _read_ some
           | reviews.
           | 
           | I read ~10 two star reviews, ~10 four star reviews, much more
           | depending on price. One stars tend to be full of stuff like
           | "product hasn't arrived", "garboage", user errors. Five stars
           | are plagued by spam and paid reviews, and also a lack of
           | details. Three stars seem to be split between very picky
           | buyers (esp. hate the "I paid $3.50 for this and it's not the
           | omega particle!") and people afraid to leave lower ratings
           | for reasons.
        
             | toss1 wrote:
             | Agree for sure, and some good notes there! (My comment was
             | merely limited to scope of the averages issue.)
             | 
             | Definitely must read a decent sampling to see if there's a
             | common problem, or it's mostly just malcontents, delivery
             | issues, or misunderstanding the product or instructions, or
             | just random issues. I've found in doing this that I'm
             | usually surprised on the good side.
        
       | kqr wrote:
       | The other common misuse of averages I keep hearing confusing "the
       | average X" with "the X of the average Y". (Known formally as
       | Jensen's inequality.)
       | 
       | So for example, the average time to review a code change is not
       | the same as the time it takes to review a code change of average
       | size.
       | 
       | The average user experience of a website is not given by the user
       | experience of the average response time.
       | 
       | And so on. People tend to compute the average of an easier
       | variable and then forget that the derived value of interest is
       | often nonlinear in the easier variable.
        
         | hackernewds wrote:
         | very interesting. what is the suggested correct way then?
        
           | kqr wrote:
           | Draw a random sample of easy variables from the underlying
           | distribution, compute the variable of interest on all of
           | those, _then_ average.
        
         | blt wrote:
         | Nit: Jensen's inequality only applies when the "derived value
         | of interest" is a convex function of the "easier variable".
        
       | AdrianB1 wrote:
       | The article is a short, low quality version of the previous
       | several ones that were explaining in detail the history, the
       | changes, the results. It does not belong here.
        
         | leoc wrote:
         | Yes, compared to Todd Rose's own article telling the story
         | https://www.thestar.com/news/insight/2016/01/16/when-us-air-...
         | this feels like a bland summary. Mind you, even Rose's version
         | waters things down quite a bit:
         | https://news.ycombinator.com/item?id=31961179 .
        
       | vivegi wrote:
       | Average by itself doesn't tell much. Average and standard
       | deviation computed over multiple samples from the population
       | tells a lot.
       | 
       | Learning about the various types of standard control charts is
       | quite useful for data-based decision making and monitoring the
       | health of a process.
       | 
       | Control charts and Pareto chart of root causes of defects are two
       | of the basic tools one needs to establish 'basic stability' in a
       | process. Basic stability is a requirement before working on
       | improving a process.
        
       | [deleted]
        
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