Question

finding the ratio of the difference in means to the mad
what is the approximate ratio of the difference in means to the mads of the data sets?
robin evelyn
scores 99, 108, 102, 107, 119 125, 137, 138, 145, 145
mean 107 138
mad 5.2 5.6
4
6
7
31

Explanation:

Step1: Calculate difference in means

$138 - 107=31$

Step2: Calculate average MAD

$\frac{5.2 + 5.6}{2}=\frac{10.8}{2}=5.4$

Step3: Calculate the ratio

$\frac{31}{5.4}\approx 6$

Answer:

6