Question

Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8,...

  1. Given the data set A = {5, 4, 6, 14, 2, 2, 11, 4, 5, 8, 3, 1, 12, 15, 13}, which is the data of a sample taken from a larger population. Please Solve NOT Using Excel
    1. Calculate the mean deviation Show all work! (5 pts)

Mean= 7

MD= (|5-7|+ |4-7|+ |6-7|+|14-7|+|2-7|+|2-7|+|11-7|+| 4-7|+ |5-7|+| 8-7|+| 3-7|+|1-7|+|12-7|+ |15-7|+| 137|)/7

             Mean deviation = 4.13

  1. Calculate the variance Show all work! (5 pts)

  1. Calculate the standard deviation Show all work! (5 pts)
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(a)

Mean = 105/15 = 7

Mean Absolute Deviation is given by

(|5-7|+ |4-7|+ |6-7|+|14-7|+|2-7|+|2-7|+|11-7|+| 4-7|+ |5-7|+| 8-7|+| 3-7|+|1-7|+|12-7|+ |15-7|+|13-7|)/15 =62/15 = 4.1333

The variance (s2) is got as follows:

x x - (x - )2
5 -2 4
4 -3 9
6 -1 1
14 7 49
2 -5 25
2 -5 25
11 4 16
4 -3 9
5 -2 4
8 1 1
3 -4 16
1 -6 36
12 5 25
15 8 64
13 6 36
Total = 320

Variance = s2 = 320/14 = 22.8571

(c)

Standard deviation (s) is given by:

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