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In the data set below, what is the mean absolute deviation? $\newline$ $4, 5, 4, 7, 3, 1$ $\newline$ 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

4, 5, 4, 7, 3, 1

\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 $4, 5, 4, 7, 3, 1$ . $\newline$ Sum of the data points: $4 + 5 + 4 + 7 + 3 + 1 = 24$ . $\newline$ Number of data points: $6$ . $\newline$ Mean = $\frac{24}{6} = 4.0$ .
Calculate Absolute Deviations: Calculate the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $4$ = $|4 - 4.0| = 0$ . $\newline$ Absolute deviation for $5$ = $|5 - 4.0| = 1$ . $\newline$ Absolute deviation for $4$ = $|4 - 4.0| = 0$ . $\newline$ Absolute deviation for $7$ = $|7 - 4.0| = 3$ . $\newline$ Absolute deviation for $3$ = $|3 - 4.0| = 1$ . $\newline$ Absolute deviation for $|4 - 4.0| = 0$ $0$ = $|4 - 4.0| = 0$ $1$ .
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $0 + 1 + 0 + 3 + 1 + 3 = 8$ . $\newline$ Number of data points: $6$ . $\newline$ Mean absolute deviation = $\frac{8}{6} = 1.333$ .
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. $1.333$ rounded to the nearest tenth is $1.3$ .

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