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sergij07 [2.7K]
2 years ago
6

The heights of six basketball players in inches are 75, 78, 77, 79, 83, and 85 What is the mean absolute deviation of the height

s?
English
1 answer:
liubo4ka [24]2 years ago
3 0

Answer:

Mean absolute deviation of the heights is 3.

Explanation:

Given the heights: 75, 78, 77, 79, 83, 85

Average value, X = \frac{75+78+77+79+83+85}{6}

                        = 79.5

Mean absolute deviation = \frac{1}{n}(/x_{1} - X/ + /x_{2} - X/ + /x_{3} - X/ + /x_{4} - X/ + /x_{5} - X/ + /x_{6} - X/)

Mean absolute deviation = \frac{1}{6}(/75 - 79.5/ + /78 - 79.5/ + /77 - 79.5/ + /79 - 79.5/ + /83 - 79.5/ + /85 - 79.5/)

                              =  \frac{1}{6}(4.5 + 1.5 + 2.5 + 0.5 + 3.5 + 5.5)

                              =  \frac{1}{6}(18)

                              = 3

The mean absolute deviation of the heights is 3.

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