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

3, 3, 6, 6, 6

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

mean absolute deviation (MAD):

\_\_

Calculate Mean: Step $1$ : Calculate the mean of the data set $3, 3, 6, 6, 6$ . Add all the numbers: $3 + 3 + 6 + 6 + 6 = 24$ . There are $5$ data points. Divide the total by the number of data points: $24 / 5 = 4.8$ . Mean: $4.8$
Absolute Deviations: Step $2$ : Calculate the absolute deviations from the mean for each data point. $\newline$ For $3$ : $|3 - 4.8| = 1.8$ . $\newline$ For $6$ : $|6 - 4.8| = 1.2$ . $\newline$ Absolute deviations: $1.8$ , $1.8$ , $1.2$ , $1.2$ , $1.2$
Mean of Absolute Deviations: Step $3$ : Calculate the mean of the absolute deviations. Add all the absolute deviations: $1.8 + 1.8 + 1.2 + 1.2 + 1.2 = 7.2$ . There are $5$ data points. Divide the total by the number of data points: $7.2 / 5 = 1.44$ . Mean of absolute deviations: $1.44$
Round to Nearest Tenth: Step $4$ : Round the mean of absolute deviations to the nearest tenth. $\newline$ $1.44$ rounded to the nearest tenth is $1.4$ . $\newline$ Mean of absolute deviations: $1.4$

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