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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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Ashraf82

Answer:

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

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