In the data set below, what is the mean absolute deviation? 4, 3, 2, 4, 4 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD): _____

Calculate Mean: Step 1: Calculate the mean of the data set 4, 3, 2, 4, 4. Sum of data points: 4 + 3 + 2 + 4 + 4 = 17. Number of data points: 5. Mean calculation: 17 / 5 = 3.4. Mean: 3.4 Find Absolute Deviation: Step 2: Find the absolute deviation for each data point from the mean. Absolute deviation for 4 = |4 - 3.4| = 0.6. Absolute deviation for 3 = |3 - 3.4| = 0.4. Absolute deviation for 2 = |2 - 3.4| = 1.4. Absolute deviation for another 4 = |4 - 3.4| = 0.6. Absolute deviation for the last 4 = |4 - 3.4| = 0.6. Absolute deviations: 0.6, 0.4, 1.4, 0.6, 0.6 Calculate Mean of Absolute Deviations: Step 3: Calculate the mean of the absolute deviations. Sum of absolute deviations: 0.6 + 0.4 + 1.4 + 0.6 + 0.6 = 4.6. Number of data points: 5. Mean of absolute deviations: 4.6 / 5 = 0.92. Rounded to the nearest tenth: 0.9

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In the data set below, what is the mean absolute deviation? $\newline$ $4, 3, 2, 4, 4$ $\newline$ 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

4, 3, 2, 4, 4

\newline

If the answer is a decimal, round it to the nearest tenth.

\newline

mean absolute deviation (MAD):

\_\_

Calculate Mean: Step $1$ : Calculate the mean of the data set $4, 3, 2, 4, 4$ . $\newline$ Sum of data points: $4 + 3 + 2 + 4 + 4 = 17$ . $\newline$ Number of data points: $5$ . $\newline$ Mean calculation: $17 / 5 = 3.4$ . $\newline$ Mean: $3.4$
Find Absolute Deviation: Step $2$ : Find the absolute deviation for each data point from the mean. Absolute deviation for $4$ = $|4 - 3.4| = 0.6$ . Absolute deviation for $3$ = $|3 - 3.4| = 0.4$ . Absolute deviation for $2$ = $|2 - 3.4| = 1.4$ . Absolute deviation for another $4$ = $|4 - 3.4| = 0.6$ . Absolute deviation for the last $4$ = $|4 - 3.4| = 0.6$ . Absolute deviations: $|4 - 3.4| = 0.6$ $0$
Calculate Mean of Absolute Deviations: Step $3$ : Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $0.6 + 0.4 + 1.4 + 0.6 + 0.6 = 4.6$ . $\newline$ Number of data points: $5$ . $\newline$ Mean of absolute deviations: $4.6 / 5 = 0.92$ . $\newline$ Rounded to the nearest tenth: $0.9$