Question

The meaning of the following data set is eight find the mean absolute deviation of the data set
5.8,7, 8.1, 9.2, 9.9

Answer 1

To find the mean absolute deviation of a data set, you first need to find the mean of the data set.

Mean = (5.8 + 7 + 8.1 + 9.2 + 9.9) / 5
Mean = 40 / 5
Mean = 8

Next, find the absolute deviation of each data point from the mean:
|5.8 - 8| = 2.2
|7 - 8| = 1
|8.1 - 8| = 0.1
|9.2 - 8| = 1.2
|9.9 - 8| = 1.9

Then, find the mean of these absolute deviations:
(2.2 + 1 + 0.1 + 1.2 + 1.9) / 5
6.4 / 5
Mean absolute deviation = 1.28

Therefore, the mean absolute deviation of the data set 5.8, 7, 8.1, 9.2, 9.9 is 1.28.