Question

Tessa is investigating the number of strawberries in a 1-pound package. She has 6 packages of strawberries and counts the number of strawberries in each package. Her results follow.
{10,12,14,15,16,17}

What is the mean absolute deviation of her data?

Answer 1

To find the mean absolute deviation, we first need to calculate the mean of the data set presented:

Mean = (10 + 12 + 14 + 15 + 16 + 17) / 6
Mean = 84 / 6
Mean = 14

Next, we calculate the absolute deviation of each data point from the mean:

|10 - 14| = 4
|12 - 14| = 2
|14 - 14| = 0
|15 - 14| = 1
|16 - 14| = 2
|17 - 14| = 3

Then, we find the mean of these absolute deviations:

Mean absolute deviation = (4 + 2 + 0 + 1 + 2 + 3) / 6
Mean absolute deviation = 12 / 6
Mean absolute deviation = 2

Therefore, the mean absolute deviation of Tessa's data set is 2.