Manager Mark counted the number of innings each Shire Sharks pitcher pitched during the Soiltop Tournament. Calvin pitched 11 innings, Brody pitched 5 innings, Thom pitched 12 innings, Shawn pitched 7 innings, and Harley pitched 5 innings.

Find the mean absolute deviation (MAD) of the data set.





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Answer:

2.8

Step-by-step explanation:

The mean absolute deviation is the ratio of summation of the difference of each data to the total number of observations. Then MAD is 2.8.

What is the mean absolute deviation?

It is the average distance between each data point and the mean.

Manager Mark counted the number of innings each Shire Sharks pitcher pitched during the Soiltop Tournament.

Calvin pitched 11 innings, Brody pitched 5 innings, Thom pitched 12 innings, Shawn pitched 7 innings, and Harley pitched 5 innings.

The mean will be

[tex]\mu = \dfrac{11+5+12+7+5}{5}\\\\\mu = \dfrac{40}{5}\\\\\mu = 8[/tex]

Then the mean absolute deviation will be

[tex]\rm MAD = \dfrac{\Sigma |x-\mu|}{N}\\\\MAD = \dfrac{(|11-8|+|5-8|+|12-8|+|7-8|+|5-8|)}{5}\\\\MAD = \dfrac{3+3+4+1+3}{5}\\\\MAD = \dfrac{14}{5}\\\\MAD = 2.8[/tex]

More about the mean absolute deviation link is given below.

https://brainly.com/question/10258446

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