Question

Dataset A, {7,9,9,12}, and dataset B, {6,8,10,13}, both have a mean of 9.25. Calculate the average deviation from the mean of each dataset.(1 point)The average deviation from the mean of dataset A is. The average deviation from the mean of dataset B is

Answer 1

To calculate the average deviation from the mean, we need to find the absolute difference between each data point and the mean, sum them up, and then divide by the number of data points.

For dataset A:
Mean = 9.25
|7 - 9.25| = 2.25
|9 - 9.25| = 0.25
|9 - 9.25| = 0.25
|12 - 9.25| = 2.75

Average deviation = (2.25 + 0.25 + 0.25 + 2.75) / 4 = 5.5 / 4 = 1.375

The average deviation from the mean of dataset A is 1.375.

For dataset B:
Mean = 9.25
|6 - 9.25| = 3.25
|8 - 9.25| = 1.25
|10 - 9.25| = 0.75
|13 - 9.25| = 3.75

Average deviation = (3.25 + 1.25 + 0.75 + 3.75) / 4 = 9 / 4 = 2.25

The average deviation from the mean of dataset B is 2.25.