Question

Find the mean absolute deviation of each data set. Use a pencil or paper. What do you notice about the mean of the two data sets? About the mean absolute deviations of the two data sets? Data Set 1: 47, 46, 51, 54, 57 Data Set 2: 15, 25, 51, 77, 87

Answer 1

Dataset 1 = 3.6

Dataset 2 = 24.8

Explanation:

Given the dataset :

Data Set 1: 47, 46, 51, 54, 57

Data Set 2: 15, 25, 51, 77, 87

Mean absolute deviation :

Σ|x - mean| / n

Dataset 1 :

Mean = (47 + 46 + 51 + 54 + 57) / 5 = 51

Mean absolute deviation :

(|47 - 51| + |46 - 51| + |51 - 51| + |54 - 51| + |57 - 51|) ÷ n

(4 + 5 + 0 + 3 + 6) / 5

= 3.6

Dataset 2:

(15 + 25 + 51 + 77 + 87) / 5

Mean = 51

(|15 - 51| + |25 - 51| + |51 - 51| + |77 - 51| + |87 - 51|) ÷ 5

(36 + 26 + 0 + 26 + 36) / 5

= 24.8