Question

Helena is comparing two sets of data. Neither set is symmetrical. Which measures of center and variability would be most effective to use when making comparisons between the two data sets?

mean and MAD
mean and IQR
median and MAD
median and IQR

Answer 1

median and IQR

Explanation:

Answer 2

Median and IQR

Explanation:

As soon as we hear that the sets are not symmetrical, we know not to use the mean. When sets are asymmetrical, any skew will make the mean an unreliable measure of the center.

So we need to use the median - that rules out A and B. The IQR is better paired with the median for the very same reason we ruled out the mean.