In the data set below, what is the mean absolute deviation? 8, 5, 1, 8, 4, 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 8, 5, 1, 8, 4, 7. Sum of the data points: 8 + 5 + 1 + 8 + 4 + 7 = 33. Number of data points: 6. Mean calculation: 33 / 6 = 5.5.Find Deviations: Find the absolute deviations from the mean for each data point. Absolute deviation for 8 = |8 - 5.5| = 2.5. Absolute deviation for 5 = |5 - 5.5| = 0.5. Absolute deviation for 1 = |1 - 5.5| = 4.5. Absolute deviation for 8 = |8 - 5.5| = 2.5. Absolute deviation for 4 = |4 - 5.5| = 1.5. Absolute deviation for 7 = |7 - 5.5| = 1.5.Calculate Mean of Deviations: Calculate the mean of the absolute deviations. Sum of absolute deviations: 2.5 + 0.5 + 4.5 + 2.5 + 1.5 + 1.5 = 13.5. Mean of absolute deviations: 13.5 / 6 = 2.25.Round Mean: Round the mean of absolute deviations to the nearest tenth. 2.25 rounded to the nearest tenth is 2.3.

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In the data set below, what is the mean absolute deviation? $\newline$ $8, 5, 1, 8, 4, 7$ $\newline$ 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

8, 5, 1, 8, 4, 7

\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 $8, 5, 1, 8, 4, 7$ .
Sum of the data points: $8 + 5 + 1 + 8 + 4 + 7 = 33$ .
Number of data points: $6$ .
Mean calculation: $33 / 6 = 5.5$ .
Find Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $8 = |8 - 5.5| = 2.5$ . $\newline$ Absolute deviation for $5 = |5 - 5.5| = 0.5$ . $\newline$ Absolute deviation for $1 = |1 - 5.5| = 4.5$ . $\newline$ Absolute deviation for $8 = |8 - 5.5| = 2.5$ . $\newline$ Absolute deviation for $4 = |4 - 5.5| = 1.5$ . $\newline$ Absolute deviation for $7 = |7 - 5.5| = 1.5$ .
Calculate Mean of Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $2.5 + 0.5 + 4.5 + 2.5 + 1.5 + 1.5 = 13.5$ . $\newline$ Mean of absolute deviations: $\frac{13.5}{6} = 2.25$ .
Round Mean: Round the mean of absolute deviations to the nearest tenth. $2.25$ rounded to the nearest tenth is $2.3$ .