There’s 107 people who answered above 200, 21 who answered exactly 200, and 113 people who answered below 200. The second quartile (aka the median) is 200. But nobody guessed a negative number, so the people who guessed low aren’t pulling the mean down that much. Meanwhile 33 people guessed 1000 or higher, and they can yank the mean a lot without doing that much to the median. If you’re asking people to generate numbers, you tend to get whole number quartiles because nobody guesses there’s 100.5 stations.
Imagine a the set [1,1,1,2,2,2,2,100,100]. The average is ~23.444, but the median is 2.
Or have I misunderstood the thing that you think needs to be corrected?
No, I think that’s correct.
There’s 107 people who answered above 200, 21 who answered exactly 200, and 113 people who answered below 200. The second quartile (aka the median) is 200. But nobody guessed a negative number, so the people who guessed low aren’t pulling the mean down that much. Meanwhile 33 people guessed 1000 or higher, and they can yank the mean a lot without doing that much to the median. If you’re asking people to generate numbers, you tend to get whole number quartiles because nobody guesses there’s 100.5 stations.
Imagine a the set [1,1,1,2,2,2,2,100,100]. The average is ~23.444, but the median is 2.
Or have I misunderstood the thing that you think needs to be corrected?
Sorry, I confused something (not about the median, but about the 400). Thanks for illustrating.