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In the data set below, what is the mean absolute deviation? $\newline$ $9, 7, 2, 8, 6, 6, 4$ $\newline$ 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, 7, 2, 8, 6, 6, 4

\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: $9, 7, 2, 8, 6, 6, 4$ $\newline$ Mean = $(9 + 7 + 2 + 8 + 6 + 6 + 4) / 7 = 42 / 7 = 6$
Find Deviations: Find the absolute deviations from the mean. $\newline$ $|9 - 6| = 3 ext{, } |7 - 6| = 1 ext{, } |2 - 6| = 4 ext{, } |8 - 6| = 2 ext{, } |6 - 6| = 0 ext{, } |6 - 6| = 0 ext{, } |4 - 6| = 2$
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(3 + 1 + 4 + 2 + 0 + 0 + 2) / 7 = 12 / 7 \approx 1.7$ when rounded to the nearest tenth.

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