Question

Shelly and Tom surveyed 6 of their friends to find the number of hours each friend reads per week. They recorded the results from each friend in a list. 0, 7, 6, 8, 1, 2 What is the mean absolute deviation of this data set? Enter your answer in the box.

Answer 1

To find the mean absolute deviation (MAD) of the data set, calculate the mean and find the absolute deviation of each number from the mean. Then, calculate the mean of these absolute deviations.

Step-by-step explanation:

To find the mean absolute deviation (MAD) of the data set, we first calculate the mean (average) of the data. Adding up all the numbers and dividing by the total count gives us a mean of 4. The next step is to find the absolute deviation of each number from the mean. We subtract the mean from each number and take the absolute value of the result. The absolute deviations for the given data set are: 4, 3, 2, 4, 3, and 2. Then, we calculate the mean of these absolute deviations, which is 3.