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what is the standard deviation. show work. say we have the following observations 15,22,28,32,44,49

what is the standard deviation. show work.
say we have the following observations 15,22,28,32,44,49

Math   Statistics-And-Probability   
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Answer #1

Solution:

Given that,

15,22,28,32,44,49

a )The mean of sample is   

x/n =  ( 15+22+28+32+44+49/ 6)

= 31.67

The sample mean is 31.67

Sample standard deviation is s

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

=  1/5 (15 - 31.67 )2+ (22 - 31.67 )2+ (28 - 31.67 )2+ (32- 31.67 )2 +( 44 -31.67)2+( 49 -31.67)2

= 167.46666666667

=12.94

The sample standard deviation is 12.94

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