Question

A dog trainer compared the mean numbers of lessons fortwo groups of dogs to learn a new trick.Mean number of lessons Mean Absolute Deviation (MAD)Group A 102Group B 122Which statement about the data is true?O A. The mean number of lessons for group A is less than the mean forgroup B by 1 MAD.B. The MAD for group A is less than the MAD for group B.C. On average, the dogs in group A required more lessons than thedogs in group B.D. The mean number of lessons for group A is less than the mean forgroup B by 2 MADs.

Answer 1

Option A

Step-by-step explanation

We want to find the statement that is true.

The mean of a data set is the average value of the data set.

The mean absolute deviation is the average distance from each data point to the mean of the data set.

From the given data sets, we see that the average number of lessons that dogs in group A required (i.e. mean) is less than that for group B.

Also, we see that the mean number of lessons for group A is less than the mean for group B by 1 mean average deviation (2).

Hence, among the options, the statement that is true about the data is that the mean number of lessons for group A is less than the mean for group B by 1 MAD.

The answer is option A.