Marisol said that Boy Group #1 is probably older than Boy Group #2, because according to the statistics shown in the box plots the boys in Boy Group #1 are taller than those in Boy Group #2.

Question

Marisol said that Boy Group #1 is probably older than Boy Group #2, because according to the statistics shown in the box plots the boys in Boy Group #1 are taller than those in Boy Group #2.

Which statistical measure derived from the graph would support Marisol's inference?

1. Median
2. mean
3. interquartile range
4. range

I think the answer is 2. Mean

Answer 1

The answer is 1. Median. The median is the vertical line within the box on the box and whiskers plot. For group 1, the median is about 66. For group 2 it's 54. The mean is not shown on the box and whiskers plot, so the answer can't be 2. Mean.