Question

what is the variance for 45 59 47 55 47 56


what is the variance for 45 59 47 55 47 56



Math   Statistics-And-Probability   
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Answer #1

Solution:

Given that,

45 ,59 ,47, 55, 47, 56

The mean of sample is   

x/n =  (45 +59 +47+ 55+ 47+ 56 / 6)

=51.5

The sample mean is 51.5

Sample standard deviation is s

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

=  1/5 (45 - 51.5 )2+ (59 - 51.5 )2+ (47 - 51.5 )2+ (55- 51.5 )2 +( 47 -51.5 )2 +( 56 -51.5 )2

= 34.3

= 5.8566201857385

The sample standard deviation is 5.86

variance=( 5.8566201857385)2

variance =34.3

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