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In the data set below, what is the mean absolute deviation? $\newline$ $1, 1, 9, 2, 5, 6$ $\newline$ 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

1, 1, 9, 2, 5, 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. $\newline$ Add all the numbers: $1 + 1 + 9 + 2 + 5 + 6 = 24$ . $\newline$ Divide by the number of data points: $24 / 6 = 4$ . $\newline$ Mean: $4$
Find Absolute Deviations: Find the absolute deviations from the mean. $\newline$ $|1 - 4| = 3$ , $|1 - 4| = 3$ , $|9 - 4| = 5$ , $|2 - 4| = 2$ , $|5 - 4| = 1$ , $|6 - 4| = 2$ . $\newline$ Absolute deviations: $3$ , $3$ , $5$ , $2$ , $|1 - 4| = 3$ $0$ , $2$ .
Calculate Mean Absolute Deviation: Calculate the mean of these absolute deviations. $\newline$ Add the absolute deviations: $3 + 3 + 5 + 2 + 1 + 2 = 16$ . $\newline$ Divide by the number of data points: $\frac{16}{6} \approx 2.7$ . $\newline$ Mean absolute deviation: $2.7$

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