Question

What is the standard deviation of the following sample data: 39, 31, 21, 29, 39, 18.

What is the standard deviation of the following sample data: 39, 31, 21, 29, 39, 18.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

Given that,

39, 31, 21, 29, 39, 18.

)The mean of sample is   

x/n =  (39 + 31 + 21 + 29 + 39 +18 / 6)

=18

The sample mean is 18

Sample standard deviation is s

s = 1/(n-1)(x - )2

=  1/5 (39 - 18 )2+ (31 - 18 )2+ (21 - 18)2+ (29- 18 )2 +( 39 - 18 )2+( 18 - 18)2

= 27.428571428571

=5.2372293656638 ( rounded)

The sample standard deviation is 5.24

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