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

Given the data:

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

`\text{ mean }=(8+9+9+7+8+6+9+8)/(8)=8`

Part B

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