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In the data set below, what is the mean absolute deviation? $\newline$ $9, 9, 4, 4, 4, 3$ $\newline$ 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

9, 9, 4, 4, 4, 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: $9, 9, 4, 4, 4, 3$ $\newline$ Mean = $(9 + 9 + 4 + 4 + 4 + 3) / 6 = 33 / 6 = 5.5$
Find Absolute Deviations: Find the absolute deviations from the mean. $\newline$ $|9 - 5.5| = 3.5$ $\newline$ $|9 - 5.5| = 3.5$ $\newline$ $|4 - 5.5| = 1.5$ $\newline$ $|4 - 5.5| = 1.5$ $\newline$ $|4 - 5.5| = 1.5$ $\newline$ $|3 - 5.5| = 2.5$
Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(3.5 + 3.5 + 1.5 + 1.5 + 1.5 + 2.5) / 6 = 14.5 / 6 = 2.416666...$ $\newline$ Rounded to the nearest tenth: $2.4$

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