In the data set below, what is the mean absolute deviation? 4, 8, 7, 7, 5, 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. Data set: 4, 8, 7, 7, 5, 5 Sum of data points: 4 + 8 + 7 + 7 + 5 + 5 = 36 Number of data points: 6 Mean = 36 / 6 = 6Find Deviations: Find the absolute deviations from the mean for each data point. Absolute deviation for 4 = |4 - 6| = 2 Absolute deviation for 8 = |8 - 6| = 2 Absolute deviation for 7 = |7 - 6| = 1 Absolute deviation for 7 again = |7 - 6| = 1 Absolute deviation for 5 = |5 - 6| = 1 Absolute deviation for 5 again = |5 - 6| = 1Calculate Mean Deviations: Calculate the mean of the absolute deviations. Sum of absolute deviations: 2 + 2 + 1 + 1 + 1 + 1 = 8 Mean absolute deviation = 8 / 6 = 1.333... Rounded to the nearest tenth = 1.3

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

4, 8, 7, 7, 5, 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. $\newline$ Data set: $4, 8, 7, 7, 5, 5$ $\newline$ Sum of data points: $4 + 8 + 7 + 7 + 5 + 5 = 36$ $\newline$ Number of data points: $6$ $\newline$ Mean = $\frac{36}{6} = 6$
Find Deviations: Find the absolute deviations from the mean for each data point. $\newline$ Absolute deviation for $4$ = $|4 - 6| = 2$ $\newline$ Absolute deviation for $8$ = $|8 - 6| = 2$ $\newline$ Absolute deviation for $7$ = $|7 - 6| = 1$ $\newline$ Absolute deviation for $7$ again = $|7 - 6| = 1$ $\newline$ Absolute deviation for $5$ = $|5 - 6| = 1$ $\newline$ Absolute deviation for $5$ again = $|5 - 6| = 1$
Calculate Mean Deviations: Calculate the mean of the absolute deviations. $\newline$ Sum of absolute deviations: $2 + 2 + 1 + 1 + 1 + 1 = 8$ $\newline$ Mean absolute deviation = $\frac{8}{6} = 1.333\ldots$ $\newline$ Rounded to the nearest tenth = $1.3$