Question

Data set 1: Has a mean of 84 and a MAD of 6. Data set 2 Has a mean of 78 and a MAD of 8 I need to find out what the means to Mean Absolute Deviation (MAD) ratio is.

My teacher keeps telling me that it is 0.75, but I can't seem to get the right formula to it to answer right. can anyone help?

Answer 1

0.75 or 6/8

Explanation:

This is probably a late answer but I thought I would go ahead and respond.

When you have two data sets with the same variance, the ratio of the means to MAD is a way to test for the pooled variance of the two data sets

Given Data Set 1 with mean M1 and mean absolute deviation with MAD1 and another data set 2 with mean M2 and MAD2 the means to MAD ratio is given by the ratio of the absolute difference in means to the largest of the MADs

Here M1 = 84 and M2 = 78 so the absolute difference is |84-78| = 6

The larger MAD is MAD2 = 8

So the ratio is 6/8 = 3/4 = 0.75