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In the data set below, what is the mean absolute deviation? $\newline$ $9, 9, 5, 1, 6, 4, 8$ $\newline$ 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

9, 9, 5, 1, 6, 4, 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: $9, 9, 5, 1, 6, 4, 8$ . $\newline$ Mean = $(9 + 9 + 5 + 1 + 6 + 4 + 8) / 7 = 42 / 7 = 6$ .
Find Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|9-6|$ , $|9-6|$ , $|5-6|$ , $|1-6|$ , $|6-6|$ , $|4-6|$ , $|8-6|$ . $\newline$ These are $3$ , $3$ , $1$ , $|9-6|$ $0$ , $|9-6|$ $1$ , $|9-6|$ $2$ , $|9-6|$ $2$ .
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(3 + 3 + 1 + 5 + 0 + 2 + 2) / 7 = 16 / 7 \approx 2.3$ when rounded to the nearest tenth.

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