In the data set below, what is the mean absolute deviation? 7, 1, 1, 1, 2, 2, 7 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): _____

Calculate Mean: Calculate the mean of the data set 7, 1, 1, 1, 2, 2, 7. Sum of data points: 7 + 1 + 1 + 1 + 2 + 2 + 7 = 21. Number of data points: 7. Mean = 21 / 7 = 3.Find Deviations: Find the absolute deviations from the mean for each data point. Absolute deviation for 7 = |7 - 3| = 4. Absolute deviation for 1 = |1 - 3| = 2. Repeat for all data points. Absolute deviations: 4, 2, 2, 2, 1, 1, 4.Calculate Mean Deviations: Calculate the mean of the absolute deviations. Sum of absolute deviations: 4 + 2 + 2 + 2 + 1 + 1 + 4 = 16. Mean absolute deviation = 16 / 7 ≈ 2.2857.Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 2.2857 rounded to the nearest tenth is 2.3.

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In the data set below, what is the mean absolute deviation? $\newline$ $7, 1, 1, 1, 2, 2, 7$ $\newline$ If the answer is a decimal, round it to the nearest tenth. $\newline$ mean absolute deviation (MAD): $\_\_$

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Grade 8

Calculate mean absolute deviation

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Q. In the data set below, what is the mean absolute deviation?

\newline

7, 1, 1, 1, 2, 2, 7

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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 $7, 1, 1, 1, 2, 2, 7$ . $\newline$ Sum of data points: $7 + 1 + 1 + 1 + 2 + 2 + 7 = 21$ . $\newline$ Number of data points: $7$ . $\newline$ Mean = $\frac{21}{7} = 3$ .
Find Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $7$ = $|7 - 3| = 4$ . $\newline$ Absolute deviation for $1$ = $|1 - 3| = 2$ . $\newline$ Repeat for all data points. $\newline$ Absolute deviations: $4, 2, 2, 2, 1, 1, 4$ .
Calculate Mean Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $4 + 2 + 2 + 2 + 1 + 1 + 4 = 16$ . $\newline$ Mean absolute deviation = $\frac{16}{7} \approx 2.2857$ .
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. $2.2857$ rounded to the nearest tenth is $2.3$ .