Heights of Family Members: Range and Mean Deviation | Test Prep

Range and Mean Deviation of Family Members' Heights

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Question

The heights of the five members in a family have been measured and found to be (in centimeters):

146, 162, 165, 187, 152

The range and the mean deviation of the heights are:

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Explanations

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A. B. C. D.

C

range = maximum value - minimum value = 187 - 146 = 41 centimeters. To calculate the mean deviation, you have to first calculate the mean. The mean equals

(146 + 162 + 165 + 187 + 152)/5 = 162.4. The total deviation is abs(146-162.4) + abs(162-162.4) + abs(165-162.4) + abs(187-162.4) + abs(152-162.4) = 16.4 +

0.4 + 2.6 + 24.6 + 10.4 = 54.4. Therefore, MD = 54.4/5 = 10.88.

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