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

9, 6, 6, 1, 9, 9, 2

\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: $9 + 6 + 6 + 1 + 9 + 9 + 2 = 42$ $\newline$ Divide by the number of data points: $42 / 7 = 6$ $\newline$ Mean: $6$
Find Deviations: Find the absolute deviations from the mean. $\newline$ $|9 - 6| = 3 ext{, } |6 - 6| = 0 ext{, } |6 - 6| = 0 ext{, } |1 - 6| = 5 ext{, } |9 - 6| = 3 ext{, } |9 - 6| = 3 ext{, } |2 - 6| = 4$ $\newline$ Absolute deviations: $3 ext{, } 0 ext{, } 0 ext{, } 5 ext{, } 3 ext{, } 3 ext{, } 4$
Calculate Mean Deviations: Calculate the mean of the absolute deviations. $\newline$ Add all the absolute deviations: $3 + 0 + 0 + 5 + 3 + 3 + 4 = 18$ $\newline$ Divide by the number of data points: $\frac{18}{7} \approx 2.571$ $\newline$ Round to the nearest tenth: $2.6$ $\newline$ Mean absolute deviation: $2.6$

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