well encapsulated in the quote popularized by Mark Twain "Lies, damned lies, and statistics" [1]
[1] https://en.wikipedia.org/wiki/Lies,_damned_lies,_and_statist...
One of my favourite jokes: 93 % of statistics are made up on the spot, and 61 % of people believe them. Bonus points for changing the figures every time you retell the joke.
A statistician is a man who with his head in the freezer and his feet in the oven can say "On the whole I feel perfectly normal."
Recommended reading: 'How to lie with statistics' - Huff, 1954
:)
Our stat prof was a very special guy.
If even one person has 1 leg, then the average is strictly less than 2.
I’m increasingly convinced this is a thought-terminating cliche. Understanding the difference between a median, mean and mode is fundamentally empowering. Enough people, however, will stop themselves from trying to understand that by quoting such a joke.
Sure, a lot of people will not take their understanding any further, but most do not have the will or the time to do so.
Even knowing mean, mode and median is not enough. You really want standard deviation too. And that is just the basics.
High-quality statistics allow themselves to be inspected. When a statistic is being passed around unadorned, particularly with a call to action, that’s no different from an uncited fact being accepted at face value. (Most of the complexity of statistics is in sampling. Most of the errors in statistical judgment tend to come down to misunderstanding how a sample’s statistics translate to the population you actually care about.)