Question

Find the mean, absolute deviation of the following data set
21, 25, 25, 26, 26, 27, 28, 30

Answer 1

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

(21 + 25 + 25 + 26 + 26 + 27 + 28 + 30) / 8 = 26.75

Next, we find the absolute deviation for each data point by taking the absolute difference between the data point and the mean:

|21 - 26.75| = 5.75
|25 - 26.75| = 1.75
|25 - 26.75| = 1.75
|26 - 26.75| = 0.75
|26 - 26.75| = 0.75
|27 - 26.75| = 0.25
|28 - 26.75| = 1.25
|30 - 26.75| = 3.25

Next, we find the average of these absolute deviations:

(5.75 + 1.75 + 1.75 + 0.75 + 0.75 + 0.25 + 1.25 + 3.25) / 8 = 1.8125

Therefore, the mean absolute deviation of the data set is 1.8125.