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?
4 6 7 31
mad mean scores
robin 99, 108, 102, 107, 119 5.2 107
evelyn 125, 137, 138, 145, 145 5.6 138

Explanation:

Step1: Identify the means and MADs

Robin's mean = 107, Robin's MAD = 5.2; Evelyn's mean = 138, Evelyn's MAD = 5.6

Step2: Calculate the difference in means

Difference in means = |138 - 107|= 31

Step3: Calculate the sum of MADs

Sum of MADs = 5.2+5.6 = 10.8

Step4: Find the ratio

Ratio = $\frac{31}{10.8}\approx 3$ (closest to 3 among the given options)

Answer:

31