Question

The number of story books owned by eight classmates is shown below: 8, 9, 9, 7, 8, 6, 9,8 Part A: What is the mean of the data? Show your work. (4 points) Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)

Answer 1

Solution

Given the data:

8, 9, 9, 7, 8, 6, 9,8

$\text{ mean }=\frac{8+9+9+7+8+6+9+8}{8}=8$

Part B

$\begin{gathered} \text{ Mean Deviation}=\frac{\Sigma|x-\mu|}{N} \\ \\ =\frac{|8-8|+|9-8|+|9-8|+|7-8|+|8-8|+|6-8|+|9-8|+|8-8|}{8} \\ \\ =\frac{0+1+1+1+0+2+1+0}{8} \\ \\ =\frac{6}{8} \\ \\ =\frac{3}{4}=0.75 \end{gathered}$