SOLUTION:
Step 1:
In this question, we are given the following:
Find the mean absolute deviations (MAD) of the data set.
Step 2:
First, we calculate the mean of the sample:
[tex]Mean\text{ = }\frac{5+8+11+7+9}{5}=\text{ }\frac{40}{5}=\text{ 8}[/tex]
Next, we find the absolute mean deviation:
Player Number of pts Mean Mean Deviation Absolute Mean Deviation
Daniela 5 8 -3 3
Isabella 8 8 0 0
Rafaella 11 8 3 3
Beatriz 7 8 -1 1
Kalin 9 8 1 1
Step 3:
From the table above, we can now calculate the mean absolute deviation as:
[tex]Mean\text{ Absolute Deviation = }\frac{3+0+3+1+1}{5}=\text{ }\frac{8}{5}=1.\text{ 6}[/tex]
Alternatively, using the Mean Absolute Deviation calculator, we have that :
CONCLUSION:
The mean Absolute deviation= 1. 6
