Question

Data Set A has a mean of 67 and Data Set B has a mean of 92. The MAD of each data set is 12. Express the difference in the measures of center as a multiple of the measure of variation. Round your answer to the nearest tenth.

Answer 1

Data Set A has a mean of 67  

Data Set B has a mean of 92.

The MAD of each data set is 12

Express the difference in the measures of center as a multiple of the measure of variation.

We find the difference of mean and divide by MAD

$\frac{Data \ set \ B - Data \ set \ A}{MAD}$

$\frac{92 - 67}{12}$ = 2.0833

So, the difference in the means is about 2.1 times the MAD