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In the data set below, what is the mean absolute deviation? $\newline$ $9, 7, 2, 5, 8, 5, 6$ $\newline$ 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, 5, 8, 5, 6

\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: $9, 7, 2, 5, 8, 5, 6$ $\newline$ Mean = $(9 + 7 + 2 + 5 + 8 + 5 + 6) / 7 = 42 / 7 = 6$
Find Deviations: Find the absolute deviations from the mean. $\newline$ |\(9 - $6$ | = $3$ ext{, } | $7$ - $6$ | = $1$ ext{, } | $2$ - $6$ | = $4$ ext{, } | $5$ - $6$ | = $1$ ext{, } | $8$ - $6$ | = $2$ ext{, } | $5$ - $6$ | = $1$ ext{, } | $6$ - $6$ | = $0$ |
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(3 + 1 + 4 + 1 + 2 + 1 + 0) / 7 = 12 / 7 \approx 1.7$ when rounded to the nearest tenth.

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