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In the data set below, what is the mean absolute deviation? $\newline$ $2, 5, 7, 9, 6$ $\newline$ 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

2, 5, 7, 9, 6

\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 $2, 5, 7, 9, 6$ . $\newline$ Sum of the data points: $2 + 5 + 7 + 9 + 6 = 29$ . $\newline$ Number of data points: $5$ . $\newline$ Mean = rac{29}{5} = 5.8.
Find Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $2$ = $|2 - 5.8| = 3.8$ . $\newline$ Absolute deviation for $5$ = $|5 - 5.8| = 0.8$ . $\newline$ Absolute deviation for $7$ = $|7 - 5.8| = 1.2$ . $\newline$ Absolute deviation for $9$ = $|9 - 5.8| = 3.2$ . $\newline$ Absolute deviation for $6$ = $|6 - 5.8| = 0.2$ .
Calculate Mean Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $3.8 + 0.8 + 1.2 + 3.2 + 0.2 = 9.2$ . $\newline$ Mean absolute deviation = $\frac{9.2}{5} = 1.84$ .
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. $\newline$ $1.84$ rounded to the nearest tenth is $1.8$ .

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