Originally posted by extravagrant I hope no one else minds my needless nitpicking (including Parallax), but the median is also an "average", and it is mathematically possible for all but one of a sample population to be below or equal to the median. It is also possible to have only one of a sample population less than the median.
I would let it go, but they rescind your math degree if you don't actively try to suck the life out of conversations by arguing pointless minutiae.
I believe you are confusing median with mean. The arithmetic median is the midpoint in a string of numbers, not an average. (if there are an even number of values in the string, the median is the average of the middle two).
In the string 1 2 3 3 3 4 5 8 8 9 22, 4 is the median. (Equal number of values above and below that)
The
average (or mean) of the string is 6.182 (rounded to 3 decimals.)
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EDIT: In my initial assertion, I stated that half would be below the median and this is not quite correct. There will be equal numbers above and below the median. They can be fewer than half, as some may be
at the median. (As in the string 1, 2,2,2, and 3)