Question

This chart shows the top five and bottom five salaries for the Arizona Diamondbacks in 2015. Find the mean and MAD of each set of data, and then compare their variation.


2015 Arizona Diamondbacks Salaries (in millions of dollars)

Top Five Salaries Bottom Five Salaries

11 0.5

9.5 0.502

9.5 0.5045

7.9 0.507

4.8 0.51

Answer 1

Answer:

Top 5 ; Mean = 8.54 ; MAD = 1.752

BOTTOM 5 : Mean = 0.5047 ; MAD = 0.0034

Explanation:

Given the data :

Top 5 : 11, 9.5, 9.5, 7.9, 4.8

Mean, m = Σx / n ; n = sample size = 5

Mean, m = 42.7 / 5 = 8.54

Mean absolute deviation (MAD) : Σ|x - m| / n ;

(|11-8.54| + |9.5-8.54¦ + ¦9.5-8.54| + |7.9-8.54| + |4.8-8.54|) / 5 = 1.752

Bottom 5 : 0.5, 0.502, 0.5045, 0.507, 0.51

Mean, m = Σx / n ; n = sample size = 5

Mean, m = 2.5235 / 5 = 0.5047

Mean absolute deviation (MAD) : Σ|x - m| / n

The mean absolute deviation :0.0034