Question

18.
What is the mean absolute deviation of the following data set: {4, 6, 8, 10, 12}?

Answer 1

First, we find the mean of the data set:

mean = (4 + 6 + 8 + 10 + 12) ÷ 5 = 8

Next, we find the absolute deviations from the mean for each data point:

|4 - 8| = 4
|6 - 8| = 2
|8 - 8| = 0
|10 - 8| = 2
|12 - 8| = 4

Then, we find the mean of these absolute deviations:

mean absolute deviation = (4 + 2 + 0 + 2 + 4) ÷ 5 = 2.4

Therefore, the mean absolute deviation of the data set {4, 6, 8, 10, 12} is 2.4.