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A group of friends went to play minigolf at Adventureland. Anna's score was 26 putts, Daniela's score was 31 putts, Luiza's score was 39 putts, and Vera's score was 32 putts.
Find the mean absolute deviation (MAD) of the data set.
putts

A group of friends went to play minigolf at Adventureland. Anna's score was 2626 putts, Daniela's score was 3131 putts, Luiza's score was 3939 putts, and Vera's score was 3232 putts.\newlineFind the mean absolute deviation (MAD) of the data set.\newlineputts

Full solution

Q. A group of friends went to play minigolf at Adventureland. Anna's score was 2626 putts, Daniela's score was 3131 putts, Luiza's score was 3939 putts, and Vera's score was 3232 putts.\newlineFind the mean absolute deviation (MAD) of the data set.\newlineputts
  1. Calculate Mean: Calculate the mean (average) of the putt scores.\newlineTo find the mean, add up all the scores and then divide by the number of scores.\newlineMean = (Anna's score + Daniela's score + Luiza's score + Vera's score) / Number of friends\newlineMean = (26+31+39+32)/4(26 + 31 + 39 + 32) / 4\newlineMean = 128/4128 / 4\newlineMean = 3232
  2. Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each score. The absolute deviation for each score is the absolute value of the difference between that score and the mean. Absolute deviation for Anna = 2632=6|26 - 32| = 6 Absolute deviation for Daniela = 3132=1|31 - 32| = 1 Absolute deviation for Luiza = 3932=7|39 - 32| = 7 Absolute deviation for Vera = 3232=0|32 - 32| = 0
  3. Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations.\newlineTo find the mean absolute deviation (MAD), add up all the absolute deviations and then divide by the number of scores.\newlineMAD=Absolute deviation for Anna+Absolute deviation for Daniela+Absolute deviation for Luiza+Absolute deviation for VeraNumber of friendsMAD = \frac{\text{Absolute deviation for Anna} + \text{Absolute deviation for Daniela} + \text{Absolute deviation for Luiza} + \text{Absolute deviation for Vera}}{\text{Number of friends}}\newlineMAD=6+1+7+04MAD = \frac{6 + 1 + 7 + 0}{4}\newlineMAD=144MAD = \frac{14}{4}\newlineMAD=3.5MAD = 3.5

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