Question

The heights, in inches, of five people on a basketball team at listed below 65, 58, 64, 61, 67 explains the meaning of the meaning absolute deviation in context of the situation

Answer 1

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

What is the mean absolute deviation of a data-set?

• The mean of a data-set is given by the sum of all observations divided by the number of observations.

• The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.

• The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

More can be learned about mean absolute deviation at https://brainly.com/question/3250070

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