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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 1111 innings, Brody pitched 55 innings, Thom pitched 1212 innings, Shawn pitched 77 innings, and Harley pitched 55 innings.\newlineFind the mean absolute deviation (MAD) of the data set.\newlineinnings

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Q. Manager Mark counted the number of innings each Shire Sharks pitcher pitched during the Soiltop Tournament. Calvin pitched 1111 innings, Brody pitched 55 innings, Thom pitched 1212 innings, Shawn pitched 77 innings, and Harley pitched 55 innings.\newlineFind the mean absolute deviation (MAD) of the data set.\newlineinnings
  1. List Innings Pitched: List the number of innings pitched by each pitcher.\newlineCalvin = 1111 innings\newlineBrody = 55 innings\newlineThom = 1212 innings\newlineShawn = 77 innings\newlineHarley = 55 innings
  2. Calculate Mean: Calculate the mean (average) number of innings pitched.\newlineMean = (Sum of all innings pitched) / (Number of pitchers)\newlineMean = (11+5+12+7+5)/5(11 + 5 + 12 + 7 + 5) / 5\newlineMean = 40/540 / 5\newlineMean = 88 innings
  3. Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each pitcher.\newlineAbsolute deviation for Calvin = ∣11−8∣=3|11 - 8| = 3 innings\newlineAbsolute deviation for Brody = ∣5−8∣=3|5 - 8| = 3 innings\newlineAbsolute deviation for Thom = ∣12−8∣=4|12 - 8| = 4 innings\newlineAbsolute deviation for Shawn = ∣7−8∣=1|7 - 8| = 1 inning\newlineAbsolute deviation for Harley = ∣5−8∣=3|5 - 8| = 3 innings
  4. Calculate Mean of Deviations: Calculate the mean of the absolute deviations.\newlineMAD=Sum of absolute deviationsNumber of pitchersMAD = \frac{\text{Sum of absolute deviations}}{\text{Number of pitchers}}\newlineMAD=(3+3+4+1+3)5MAD = \frac{(3 + 3 + 4 + 1 + 3)}{5}\newlineMAD=145MAD = \frac{14}{5}\newlineMAD=2.8MAD = 2.8 innings

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