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In the data set below, what is the mean absolute deviation? $\newline$ $5, 3, 8, 1, 7, 6, 5$ $\newline$ 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

5, 3, 8, 1, 7, 6, 5

\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: $5, 3, 8, 1, 7, 6, 5$ $\newline$ Mean = $(5 + 3 + 8 + 1 + 7 + 6 + 5) / 7$ $\newline$ Mean = $35 / 7 = 5$
Find Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|5-5| ext{, } |3-5| ext{, } |8-5| ext{, } |1-5| ext{, } |7-5| ext{, } |6-5| ext{, } |5-5|$ $\newline$ Absolute deviations: $0\text{, } 2\text{, } 3\text{, } 4\text{, } 2\text{, } 1\text{, } 0$
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(0 + 2 + 3 + 4 + 2 + 1 + 0) / 7$ $\newline$ Mean absolute deviation = $12 / 7 \approx 1.7$ when rounded to the nearest tenth.

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