Question

The number of hours of TV watched each week by 8 seventh grade students is shown below.

11, 7, 9, 3, 3, 8, 10, 5











a. What is the mean number of hours of TV watching?


b. Mean absolute deviation =


c. Explain the meaning of the mean absolute deviation as it relates to the number of hours of TV watched.

Answer 1

(a)Mean=7 Hours

(b)Mean Absolute Deviation=2.5 Hours

Explanation:

Given the number of hours of TV watched each week by 8 seventh grade students shown below.

11, 7, 9, 3, 3, 8, 10, 5

(a)Mean

`Mean=\frac{\text{Addition of all the terms}}{\text{Number of Terms}} \\=(11+7+9+3+3+8+10+5)/(8) \\=(56)/(8) \\$Mean Number of Hours=7`

(b)Mean absolute deviation

`M.A.D=(|11-7|+|7-7|+|9-7|+|3-7|+|3-7|+|8-7|+|10-7|+|5-7|)/(8) \\=(4+0+2+4+4+1+3+2)/(8) \\=(20)/(8)\\$Mean Absolute Deviation=2.5 Hours`(c)The Mean Absolute Deviation tells us how far, on average, all values are from the mean. The Mean absolute deviation of 2.5 Hours tells us that each hour is on the average far from the mean number of hours by 2.5 Hours.