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In the data set below, what is the mean absolute deviation? $\newline$ $5, 8, 8, 9, 4, 7, 8$ $\newline$ 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

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

\newline

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

\newline

mean absolute deviation (MAD):

\_\_

Calculate Mean: Calculate the mean of the data set. $\newline$ Data set: $5, 8, 8, 9, 4, 7, 8$ . $\newline$ Mean = $(5 + 8 + 8 + 9 + 4 + 7 + 8) / 7 = 49 / 7 = 7$ .
Find Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|5 - 7| = 2$ , $|8 - 7| = 1$ , $|8 - 7| = 1$ , $|9 - 7| = 2$ , $|4 - 7| = 3$ , $|7 - 7| = 0$ , $|8 - 7| = 1$ .
Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(2 + 1 + 1 + 2 + 3 + 0 + 1) / 7 = 10 / 7 \approx 1.4$ when rounded to the nearest tenth.

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