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1 vote
The following data values represent a population. What is the variance of the values? 7, 5, 11, 1, 11

User Jlasierra
by
6.1k points

2 Answers

4 votes
The mean is 35/5=7

The variance is the average of the sum of squared differences of each element from the mean:

v=((7-7)^2+(5-7)^2+(11-7)^2+(1-7)^2+(11-7)^2)/5

v=(0+4+16+36+16)/5

v=14.4
User Raymar
by
6.5k points
6 votes

Answer:

The variance of the values is: 14.4

Explanation:

The data is given as follows:

7, 5, 11, 1, 11

The total number of data points are: 5

The mean of the data values is given by:


Mean(x')=(7+5+11+1+11)/(5)\\\\i.e.\\\\Mean(x')=(35)/(5)\\\\i.e.\\\\Mean(x')=7

Now,

x x-x' (x-x')²

7 7-7=0 0

5 5-7= -2 4

11 11-7=4 16

1 1-7= -6 36

11 11-7=4 16

The variance is given by:


\sigma^2=(\sum (x-x')^2)/(5)\\\\i.e.\\\\\sigma^2=(4+16+36+16)/(5)\\\\i.e.\\\\\sigma^2=(72)/(5)\\\\i.e.\\\\\sigma^2=14.4

Hence, Variance=14.4

User Tunisia
by
7.8k points
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