This is an old quant review question:
If the variables, X, Y, and Z take on only the values 10, 20, 30, 40, 50, 60, or 70 with frequencies indicated by the shaded regions above, for which of the frequency distributions is the mean equal to the median?
(A) X only
(8) Y only
(C) Z only
(D) X and Y
(E) X and Z
Frequency Distribution for X :
10 20 20 30 30 30 40 40 40 40
50 50 50 60 60 70
Mean = 40 (All the same colored ones are multiples of 40 so mean would be evened out to 40)
Median (Mid) = (40 + 40)/2 = 40
Frequency Distribution for Z : Similarly for Z Mean = Median = 40
There's no answer option containing all the three so we need not check Y
[spoiler]Answer : E[/spoiler]
