Question
what is the variance for 45 59 47 55 47 56
what is the variance for 45 59 47
55 47 56
Homework Answers
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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