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In the data set below, what is the mean absolute deviation? $\newline$ $1, 2, 9, 6, 7, 7, 3$ $\newline$ 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

1, 2, 9, 6, 7, 7, 3

\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: $1, 2, 9, 6, 7, 7, 3$ . $\newline$ Mean = $(1 + 2 + 9 + 6 + 7 + 7 + 3) / 7 = 35 / 7 = 5$ .
Find Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|1-5| = 4$ , $|2-5| = 3$ , $|9-5| = 4$ , $|6-5| = 1$ , $|7-5| = 2$ , $|7-5| = 2$ , $|3-5| = 2$ .
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(4 + 3 + 4 + 1 + 2 + 2 + 2) / 7 = 18 / 7 \approx 2.6$ when rounded to the nearest tenth.

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