Two sets of data are each symmetrical and do not contain outliers. Which measures of center and variability would be most effective to use when making comparisons between the two data sets?

A. mean and MAD

B. mean and IQR

C. median and MAD

D. median and IQR

Solution:

As, two set of data are each symmetrical and do not contain outliers.

To find the center, the best way is to find Median of data set. Median of Data set is the mid value of Data that is center of Data.

As, you have to find variability, mean can't measure variability. Mean deviation would have been better option.

So, MAD=Median absolute Deviation, would be better tool to measure variability. Because it is Absolute difference between median and Each value of data set.

So, Option (C) median and MAD, would be best way to compare the two given data set.

C) median and mean absolute deviation