Find: a. the mean
b. the deviation from the mean for each data item.
c. the sum of the deviations in part b.

147, 154, 156, 161, 162

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean =

b) The formula for calculating the deviation from the mean for each value is expressed as where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations = (-9-2+0+5+6)

= -11+11

= 0

Hence the sum of deviation from the mean is 0

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above