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

1, 1, 4, 4, 3, 4, 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. $\newline$ Data set: $1, 1, 4, 4, 3, 4, 4$ . $\newline$ Mean = $(1 + 1 + 4 + 4 + 3 + 4 + 4) / 7 = 21 / 7 = 3$ .
Find Deviations: Find the absolute deviations from the mean. $\newline$ Absolute deviations: $|1 - 3| = 2$ , $|1 - 3| = 2$ , $|4 - 3| = 1$ , $|4 - 3| = 1$ , $|3 - 3| = 0$ , $|4 - 3| = 1$ , $|4 - 3| = 1$ .
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ Mean absolute deviation = $(2 + 2 + 1 + 1 + 0 + 1 + 1) / 7 = 8 / 7 \approx 1.1$ when rounded to the nearest tenth.

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