Question
In: Statistics and Probability
The number of sample orders written during each of the last 10 days are listed below....
The number of sample orders written during each of the last 10 days are listed below.
3,6,9,8,7,4,6,5,1,1. Determine population standard deviation and sample variance
Solutions
Expert Solution
Solution:
Given that,
| x | x2 |
| 3 | 9 |
| 6 | 36 |
| 9 | 81 |
| 8 | 64 |
| 7 | 49 |
| 4 | 16 |
| 6 | 36 |
| 5 | 25 |
| 1 | 1 |
| 1 | 1 |
 x
= 50 |
x
2 = 318 |
a ) The population variance 
2
2
=x
- ((
x )2 / n ) / n )
= ( 318 -( (50 )2 / 10 ) / 10
= 318 - 250/ 10
= 68 / 10
= 6.8
The population variance
2 = 6.8
b ) The population standard deviation is
= 
The population variance
=
6.8
= 2.61
The population standard deviation is
= 2.61
c ) The sample variance S2
=x
- ((
x )2 / n ) / n-1 )
= ( 318 -( (50 )2 / 10 ) / 9
= 318 - 250/ 9
= 68 / 9
S2 = 7.56
The sample variance S2 is 7.56
orchestra answered 2 years agoRelated Solutions
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