Answer:
Dataset 1 = 3.6
Dataset 2 = 24.8
Step-by-step 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
