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In the data set below, what is the mean absolute deviation? $\newline$ $7, 2, 4, 6, 9, 3, 4$ $\newline$ 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

7, 2, 4, 6, 9, 3, 4

\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: $7 + 2 + 4 + 6 + 9 + 3 + 4 = 35$ . $\newline$ Divide by the number of data points: $35 / 7 = 5$ . $\newline$ Mean: $5$
Find Deviations: Find the absolute deviations from the mean. $\newline$ |7 - 5| = 2, |2 - 5| = 3, |4 - 5| = 1, |6 - 5| = 1, |9 - 5| = 4, |3 - 5| = 2, |4 - 5| = 1.\(\newlineAbsolute deviations: \$2, 3, 1, 1, 4, 2, 1\)
Calculate Mean Deviations: Calculate the mean of these absolute deviations.\(\newline\)Add the absolute deviations: \(2 + 3 + 1 + 1 + 4 + 2 + 1 = 14\).\(\newline\)Divide by the number of deviations: \(\frac{14}{7} = 2\).\(\newline\)Mean absolute deviation: \(2\)

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