Question

this chart shows the top five and bottom find salaries for Arizona Diamondbacks in 2015 to find the mean and the Mad of each set of data and then compare this b a r i a t i o n

Answer 1

Problem

Solution

For this case we can calculate the mean of each dataset on this way:

1 = Means Tops Five Salaries

2= means Bottom five salaries

$\text{Mean}1=\frac{11+9.5+9.5+7.9+4.8}{5}=8.54$$\text{Mean}2=\frac{0.5+0.502+0.5045+0.507+0.51}{5}=0.5047$

And we can calculate the mean absolute deviation (MAD) with this:

$\text{MAD}_1=\frac{\mleft|11-8.54\mright|+\mleft|9.5-8.54\mright|+\mleft|9.5-8.54\mright|+\mleft|7.9-8.54\mright|+\mleft|4.8-8.54\mright|}{5}=1.752$

And for the second dataset we got:

$\text{MAD}_2=\frac{|0.5-0.5047|+|0.502-0.5047|+|0.5045-0.5047|+|0.507-0.5047|+|0.51-0.5047|}{5}=0.0030$