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

8, 4, 4, 4, 2, 2

\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: $8, 4, 4, 4, 2, 2$ $\newline$ Mean = $(8 + 4 + 4 + 4 + 2 + 2) / 6 = 24 / 6 = 4$
Find Absolute Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|8 - 4|$ , $|4 - 4|$ , $|4 - 4|$ , $|4 - 4|$ , $|2 - 4|$ , $|2 - 4|$ $\newline$ Absolute deviations: $4$ , $0$ , $0$ , $0$ , $|4 - 4|$ $0$ , $|4 - 4|$ $0$
Calculate Mean Absolute Deviation: Calculate the mean of the absolute deviations. $\newline$ Mean absolute deviation = $(4 + 0 + 0 + 0 + 2 + 2) / 6 = 8 / 6 \approx 1.3$ when rounded to the nearest tenth.

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