Question

At a dog show, the mean weight of the Norfolk Terriers is

11.5 pounds with a MAD of 2. The mean weight of the
Cairn Terriers is 13 pounds with a MAD of 1.8. Express the
difference in mean weights as a multiple of the MAD for
both dog breeds. Show your work.

Answer 1

Explanation:

To express the difference in mean weights as a multiple of the MAD for both dog breeds, we can use the formula:

(difference in means) / (mean absolute deviation)

Let's plug in the values given in the problem:

(difference in means) = 13 - 11.5 = 1.5

(mean absolute deviation) = 2 + 1.8 / 2 = 1.9 (taking the average of the two MADs)

Now we can calculate:

(difference in means) / (mean absolute deviation) = 1.5 / 1.9 ≈ 0.7895

Therefore, the difference in mean weights between the two breeds is approximately 0.7895 times the average MAD for both breeds.