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In the data set below, what is the mean absolute deviation? $\newline$ $1, 8, 7, 9, 4, 6, 7$ $\newline$ 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, 8, 7, 9, 4, 6, 7

\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. $\newline$ Add all the numbers: $1 + 8 + 7 + 9 + 4 + 6 + 7 = 42$ . $\newline$ Divide by the number of data points: $42 / 7 = 6$ . $\newline$ Mean: $6$
Absolute Deviations: Find the absolute deviations from the mean. $\newline$ $|1 - 6| = 5, |8 - 6| = 2, |7 - 6| = 1, |9 - 6| = 3, |4 - 6| = 2, |6 - 6| = 0, |7 - 6| = 1.$ $\newline$ Absolute deviations: $5, 2, 1, 3, 2, 0, 1$
Mean of Absolute Deviations: Calculate the mean of the absolute deviations. $\newline$ Add the absolute deviations: $5 + 2 + 1 + 3 + 2 + 0 + 1 = 14$ . $\newline$ Divide by the number of data points: $\frac{14}{7} = 2$ . $\newline$ Mean absolute deviation: $2$

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