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

4, 4, 9, 4, 8, 5, 1

\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: $4, 4, 9, 4, 8, 5, 1$ $\newline$ Mean = $(4 + 4 + 9 + 4 + 8 + 5 + 1) / 7 = 35 / 7 = 5$
Find Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|4 - 5|, |4 - 5|, |9 - 5|, |4 - 5|, |8 - 5|, |5 - 5|, |1 - 5|$ $\newline$ Absolute deviations: $1, 1, 4, 1, 3, 0, 4$
Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(1 + 1 + 4 + 1 + 3 + 0 + 4) / 7 = 14 / 7 = 2.0$

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