Question

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

Homework Answers

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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