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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.

◻ innings

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. $\newline$ Find the mean absolute deviation (MAD) of the data set. $\newline$ $\square$ $\text{innings}$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. 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.

\newline

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

\newline

\square

\text{innings}

List Innings Pitched: List the number of innings pitched by each pitcher. $\newline$ Calvin = $11$ innings $\newline$ Brody = $5$ innings $\newline$ Thom = $12$ innings $\newline$ Shawn = $7$ innings $\newline$ Harley = $5$ innings
Calculate Mean: Calculate the mean (average) number of innings pitched. $\newline$ Mean = (Sum of all innings pitched) / (Number of pitchers) $\newline$ Mean = $(11 + 5 + 12 + 7 + 5) / 5$ $\newline$ Mean = $40 / 5$ $\newline$ Mean = $8$ innings
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each pitcher. $\newline$ Absolute deviation for Calvin = $|11 - 8| = 3$ $\newline$ Absolute deviation for Brody = $|5 - 8| = 3$ $\newline$ Absolute deviation for Thom = $|12 - 8| = 4$ $\newline$ Absolute deviation for Shawn = $|7 - 8| = 1$ $\newline$ Absolute deviation for Harley = $|5 - 8| = 3$
Calculate Mean of Deviations: Calculate the mean of the absolute deviations. $\newline$ $MAD = \frac{\text{Sum of absolute deviations}}{\text{Number of pitchers}}$ $\newline$ $MAD = \frac{(3 + 3 + 4 + 1 + 3)}{5}$ $\newline$ $MAD = \frac{14}{5}$ $\newline$ $MAD = 2.8$ innings

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