Question

2. Calculate the mean absolute deviation of the following data set: (36, 54, 49, 39, 41, 48, 50)

45.3

8.7

5.7

07

Answer 1

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

Mean = (36 + 54 + 49 + 39 + 41 + 48 + 50) / 7 = 45

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

|36 - 45| = 9

|54 - 45| = 9

|49 - 45| = 4

|39 - 45| = 6

|41 - 45| = 4

|48 - 45| = 3

|50 - 45| = 5

To calculate the mean absolute deviation, we take the average of these absolute deviations:

Mean Absolute Deviation = (9 + 9 + 4 + 6 + 4 + 3 + 5) / 7 = 5.7

Therefore, the answer is option (c) 5.7.