Question

The data set shows the numbers of hours students volunteer for a community service project. Find and interpret the mean absolute deviation of the data. Write your answer as a decimal.

3, 3, 4, 4, 5, 6, 6, 6, 9, 10

Answer 1

1.8

Explanation:

1st step

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

2nd step

Find the sum of the data values, and divide the sum by the number of data values.

3rd step

Find the absolute value of the difference between each data value and the mean: |data value – mean|.

4th step

Find the sum of the absolute values of the differences.

5th step

Divide the sum of the absolute values of the differences by the number of data values.