In the data set below, what is the mean absolute deviation? 7, 1, 4, 1, 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 7, 1, 4, 1, 1. Add all the numbers: 7 + 1 + 4 + 1 + 1 = 14. Divide by the number of data points: 14 / 5 = 2.8. Mean = 2.8. Find Absolute Deviations: Find the absolute deviations from the mean for each data point. For 7: |7 - 2.8| = 4.2. For 1: |1 - 2.8| = 1.8. For 4: |4 - 2.8| = 1.2. For 1: |1 - 2.8| = 1.8. For 1: |1 - 2.8| = 1.8. Absolute deviations: 4.2, 1.8, 1.2, 1.8, 1.8. Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations. Add all the absolute deviations: 4.2 + 1.8 + 1.2 + 1.8 + 1.8 = 10.8. Divide by the number of data points: 10.8 / 5 = 2.16. Mean absolute deviation = 2.16. Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. 2.16 rounded to the nearest tenth is 2.2. Mean absolute deviation (MAD) = 2.2.

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In the data set below, what is the mean absolute deviation? $\newline$ $7, 1, 4, 1, 1$ $\newline$ 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

7, 1, 4, 1, 1

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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 $7, 1, 4, 1, 1$ . Add all the numbers: $7 + 1 + 4 + 1 + 1 = 14$ . Divide by the number of data points: $14 / 5 = 2.8$ . Mean = $2.8$ .
Find Absolute Deviations: Find the absolute deviations from the mean for each data point. $\newline$ For $7$ : $|7 - 2.8| = 4.2$ . $\newline$ For $1$ : $|1 - 2.8| = 1.8$ . $\newline$ For $4$ : $|4 - 2.8| = 1.2$ . $\newline$ For $1$ : $|1 - 2.8| = 1.8$ . $\newline$ For $1$ : $|1 - 2.8| = 1.8$ . $\newline$ Absolute deviations: $|7 - 2.8| = 4.2$ $0$ .
Calculate Mean of Absolute Deviations: Calculate the mean of the absolute deviations. $\newline$ Add all the absolute deviations: $4.2 + 1.8 + 1.2 + 1.8 + 1.8 = 10.8$ . $\newline$ Divide by the number of data points: $\frac{10.8}{5} = 2.16$ . $\newline$ Mean absolute deviation = $2.16$ .
Round Mean Absolute Deviation: Round the mean absolute deviation to the nearest tenth. $\newline$ $2.16$ rounded to the nearest tenth is $2.2$ . $\newline$ Mean absolute deviation (MAD) = $2.2$ .