In the data set below, what is the mean absolute deviation? 8, 9, 2, 9, 5 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, 9, 2, 9, 5. Sum of data points: 8 + 9 + 2 + 9 + 5 = 33. Number of data points: 5. Mean = 33 / 5 = 6.6. Find Deviations: Find the absolute deviations from the mean for each data point. Absolute deviation for 8 = |8 - 6.6| = 1.4. Absolute deviation for 9 = |9 - 6.6| = 2.4. Absolute deviation for 2 = |2 - 6.6| = 4.6. Absolute deviation for 9 = |9 - 6.6| = 2.4. Absolute deviation for 5 = |5 - 6.6| = 1.6. Calculate Mean Deviations: Calculate the mean of the absolute deviations. Sum of absolute deviations: 1.4 + 2.4 + 4.6 + 2.4 + 1.6 = 12.4. Mean absolute deviation = 12.4 / 5 = 2.48. Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. 2.48 rounded to the nearest tenth is 2.5.

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In the data set below, what is the mean absolute deviation? $\newline$ $8, 9, 2, 9, 5$ $\newline$ 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, 9, 2, 9, 5

\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 $8, 9, 2, 9, 5$ . $\newline$ Sum of data points: $8 + 9 + 2 + 9 + 5 = 33$ . $\newline$ Number of data points: $5$ . $\newline$ Mean = $\frac{33}{5} = 6.6$ .
Find Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $8$ = $|8 - 6.6| = 1.4$ . $\newline$ Absolute deviation for $9$ = $|9 - 6.6| = 2.4$ . $\newline$ Absolute deviation for $2$ = $|2 - 6.6| = 4.6$ . $\newline$ Absolute deviation for $9$ = $|9 - 6.6| = 2.4$ . $\newline$ Absolute deviation for $5$ = $|5 - 6.6| = 1.6$ .
Calculate Mean Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $1.4 + 2.4 + 4.6 + 2.4 + 1.6 = 12.4$ . $\newline$ Mean absolute deviation = $\frac{12.4}{5} = 2.48$ .
Round Mean Deviation: Round the mean absolute deviation to the nearest tenth. $2.48$ rounded to the nearest tenth is $2.5$ .