What is the mean absolute deviation of the data set? Use paper and pencil,

technology, or other tools as needed to find the answer.

68, 59, 65, 77,56

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The mean absolute deviation of the data set is 6

Step-by-step explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value - mean|. Find the sum of the absolute values of the differences. Divide the sum of the absolute values of the differences by the number of data values

∵ The data are 68, 59, 65, 77, 56

- Find their sum

∴ The sum of the data = 68 + 59 + 65 + 77 + 56 = 325

∵ The number of data in the set is 5

- Find the mean by dividing the sum of the data by 5

∴ The mean = 325 : 5 = 65

- Find the absolute difference between the each data and the mean

∵ I68 - 65I = 3

∵ I59 - 65I = 6

∵ I65 - 65I = 0

∵ I77 - 65I = 12

∵ I56 - 65I = 9

- Find the sum of the absolute differences

∵ The sum of the absolute differences = 3 + 6 + 0 + 12 + 9

∴ The sum of the absolute differences = 30

Divide the sum of the absolute differences by 5 to find the mean absolute deviation

∴ The mean absolute deviation = 30 : 5 = 6

The mean absolute deviation of the data set is 6