Question

In the data set below, what is the mean absolute deviation? 5 2 9 6 4 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):

Answer 1

Answer: 2.4

Explanation:

Answer 2

To find the mean absolute deviation, we first need to find the mean of the given data set:

Mean = (5 + 2 + 9 + 6 + 4)/5

Mean = 26/5

Mean = 5.2

Next, we find the absolute deviation of each data point from the mean:

|5 - 5.2| = 0.2

|2 - 5.2| = 3.2

|9 - 5.2| = 3.8

|6 - 5.2| = 0.8

|4 - 5.2| = 1.2

To get the MAD, we find the mean of these absolute deviations:

MAD = (0.2 + 3.2 + 3.8 + 0.8 + 1.2)/5

MAD = 9.2/5

MAD = 1.84

Therefore, the mean absolute deviation of the given data set is 1.8 (rounded to the nearest tenth).