cross-posted from: https://lemmy.world/post/22924821
this post was submitted on 11 Dec 2024
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Half of all people are below average.
Half of all people are below the median.
That's not necessarily true. If 100 people take a test and 99 of them score 100 but one person gets a 0, the average score is 99. But 99 people scored 100, so 99 people are above average, and only 1 is below average.
that generally doesn't happen in the real world though, most of the time the mean and median are close-ish at least
When we're talking "half the people" that means median not mean.
Technically correct is best correct.
Well of course it's not gonna be true when you make up an incredibly unlikely contrived scenario that doesn't follow anything close to a normal distribution
99 of them would then be average and the one person would be below average
The average is 99.
99 people scored 100. They're above average.
Median.
Closer to 2.5% are below average, 2.5% brilliant, and 95% of us are average, or imperceptibly close to average.