Question

Determine the sample variance and standard deviation for this small dataset: 5 6 8 Include 2...

Determine the sample variance and standard deviation for this small dataset:

5
6
8

Include 2 decimal places in your answer (i.e, 4.35)

Homework Answers

Answer #1

x

(x-x̅ )

(x - x̅)²

5

-1.33333

1.777778

6

-0.33333

0.111111

8

1.666667

2.777778

19

4.666667

Mean = ∑x/n         =19/3     =6.3333333

Sample standard deviation = √(∑(x - x̅)²/n-1)     =√(4.666667/3-1)     =1.527525     =1.53

Sample variance = ∑(x - x̅)²/n-1       =4.666667/3-1       =2.333333     =2.33

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