Question

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closest to the mean of this distribution?

A.6
B.7
C.3
D.4
E.5

Answer 1

Answer: A) 6

=======================================================

Explanation:

The distribution is perfectly symmetrical about the center 6. Notice how the left side is a mirror copy of the right side, due to the heights being the same. Because of this, the mean, median and mode are all the same value and that is 6. The mode is equal to 6 as this is the most frequent value.

The longer way to do this problem is to add up each value shown. We have four copies of '2', six copies of '3', and so on. The total sum you would get is 372. Divide this over 62 because there are 62 smaller green squares. The final result is the mean of 6.

Answer 2

A) 6
Hope this helps :)