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In the data set below, what is the mean absolute deviation? $\newline$ $6, 5, 1, 4, 5, 3$ $\newline$ 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

6, 5, 1, 4, 5, 3

\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: $6 + 5 + 1 + 4 + 5 + 3 = 24$ . $\newline$ Divide by the number of data points: $24 / 6 = 4$ . $\newline$ Mean: $4$
Find Absolute Deviations: Find the absolute deviations from the mean. $\newline$ |6 - 4| = 2 ext{, } |5 - 4| = 1 ext{, } |1 - 4| = 3 ext{, } |4 - 4| = 0 ext{, } |5 - 4| = 1 ext{, } |3 - 4| = 1.\(\newlineAbsolute deviations: \$2\), \(1\), \(3\), \(0\), \(1\), \(1\).
Calculate Mean of Deviations: Calculate the mean of the absolute deviations. Add the absolute deviations: \(2 + 1 + 3 + 0 + 1 + 1 = 8\). Divide by the number of data points: \(\frac{8}{6} \approx 1.333\). Rounded to the nearest tenth: \(1.3\).

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