In the data set below, what is the mean absolute deviation? 2, 1, 2, 2, 1 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 2, 1, 2, 2, 1. Sum of data points: 2 + 1 + 2 + 2 + 1 = 8. Number of data points: 5. Mean = 8 / 5 = 1.6. Find Absolute Deviations: Find the absolute deviations from the mean for each data point. Absolute deviation for 2 = |2 - 1.6| = 0.4. Absolute deviation for 1 = |1 - 1.6| = 0.6. Repeat for all data points. Absolute deviations: 0.4, 0.6, 0.4, 0.4, 0.6. Calculate Mean of Deviations: Calculate the mean of the absolute deviations. Sum of absolute deviations: 0.4 + 0.6 + 0.4 + 0.4 + 0.6 = 2.4. Mean absolute deviation = 2.4 / 5 = 0.48. Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 0.48 rounded to the nearest tenth is 0.5.

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

2, 1, 2, 2, 1

\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 $2, 1, 2, 2, 1$ . $\newline$ Sum of data points: $2 + 1 + 2 + 2 + 1 = 8$ . $\newline$ Number of data points: $5$ . $\newline$ Mean = $\frac{8}{5} = 1.6$ .
Find Absolute Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $2$ = $|2 - 1.6| = 0.4$ . $\newline$ Absolute deviation for $1$ = $|1 - 1.6| = 0.6$ . $\newline$ Repeat for all data points. $\newline$ Absolute deviations: $0.4$ , $0.6$ , $0.4$ , $0.4$ , $0.6$ .
Calculate Mean of Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $0.4 + 0.6 + 0.4 + 0.4 + 0.6 = 2.4$ . $\newline$ Mean absolute deviation = $\frac{2.4}{5} = 0.48$ .
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. $0.48$ rounded to the nearest tenth is $0.5$ .