The following five values are a sample: 11, 6, 10, 6, and

Chapter 3, Problem 40E

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QUESTION:

Problem 40E

The following five values are a sample: 11, 6, 10, 6, and 7.

a. Compute the sample variance.

b. Determine the sample standard deviation.

Questions & Answers

QUESTION:

Problem 40E

The following five values are a sample: 11, 6, 10, 6, and 7.

a. Compute the sample variance.

b. Determine the sample standard deviation.

ANSWER:

Solution

Step 1 of 2

a) We have to find the sample variance

The given sample is 11, 6, 10, 6, 7

Here the sample mean

                                            =(11+6+10+6 +7)/5

                                            =40/5

                                            =8

The sample variance is denoted by

The sample variance

                                       =

                                       =

                                            =5.5

Hence the sample variance is 5.5


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