Question

The mean of data set A is 42. The mean of data set B is 47. The mean absolute deviation (MAD) of both data sets is 25. What is the difference of the

means as a multiple of the MAD?

The difference of the means is.......? times the MAD


HELP!

Answer 1

The difference of the means is 2 times the MAD

Explanation:

Mean of data set A = 42

Mean of data set B = 47

MAD of both data sets = 2.5

Difference of their means = 47 - 42 = 5

Thus, the difference of their means = 2 × the MAD

= 2 × 2.5 = 5

Therefore:

The difference of the means is 2 times the MAD