A group of friends went to play minigolf at Adventureland. Anna's score was 26 putts, Daniela's score was 313131 putts, Luiza's score was 39 putts, and Vera's score was 32 putts.
Find the mean absolute deviation (MAD) of the data set.

3.5

Step-by-step explanation:

1 / 3

First, let's find the mean.

\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}  

4

26+31+39+32

=  

4

128

=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text

Hint #22 / 3

Next, let's find the distance each data point is from the mean.

Data pointDistance from the mean

262626\blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6

313131\blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1

39393939-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7

32323232-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0

Hint #33 / 3

The mean absolute deviation (MAD) is the mean of the distances from the mean.

\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}  

4

6+1+7+0

=  

4

14

=3.5 putts  I hope it helps.

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