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In the data set below, what is the mean absolute deviation? $\newline$ $7, 9, 5, 4, 8, 2, 7$ $\newline$ If the answer is a decimal, round it to the nearest tenth. $\newline$ mean absolute deviation (MAD): $\_\_$

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Calculate mean absolute deviation

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Q. In the data set below, what is the mean absolute deviation?

\newline

7, 9, 5, 4, 8, 2, 7

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

mean absolute deviation (MAD):

\_\_

Arrange Data in Ascending Order: Arrange the data set in ascending order. $\newline$ Data set in order: $2, 4, 5, 7, 7, 8, 9$ .
Calculate Mean: Calculate the mean of the data set. $\newline$ Mean = $(2 + 4 + 5 + 7 + 7 + 8 + 9) / 7 = 42 / 7 = 6$ .
Calculate Absolute Deviations: Calculate the absolute deviations from the mean. $\newline$ Absolute deviations: $|2 - 6| = 4$ , $|4 - 6| = 2$ , $|5 - 6| = 1$ , $|7 - 6| = 1$ , $|7 - 6| = 1$ , $|8 - 6| = 2$ , $|9 - 6| = 3$ .
Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(4 + 2 + 1 + 1 + 1 + 2 + 3) / 7 = 14 / 7 = 2.0$ .

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