Question
In: Statistics and Probability
2, 9, 15, 5, 11, 7, 11, 7, 5, 10 find the population mean, the population...
2, 9, 15, 5, 11, 7, 11, 7, 5, 10 find the population mean, the population variance and the population standard deviation
Solutions
Expert Solution
Solution:
Given that,
| x | x2 |
| 2 | 4 |
| 9 | 81 |
| 15 | 225 |
| 5 | 25 |
| 11 | 121 |
| 7 | 49 |
| 11 | 121 |
| 7 | 49 |
| 5 | 25 |
| 10 | 100 |
 x
= 82 |
x2
= 800 |
a ) The population mean is 
=
(
x / n)
= (147 +( - 25 / 62 ) * 5
= (2+9+15+5+11+7+11+7+5+10 / 10 )
= 82 / 10
= 8.2
The population mean
= 8.2
b ) The population variance is 
2
2
= (
x 2 ) - ((
x )2 / n ) / n )
= ( 800( (- 82 )2 / 10 ) / 10
= ( 800 - 672.4/ 10 )
= 127.6 / 10
= 12.76
The population variance is 2
= 12.76
c ) The population standard deviation is
= 
The
population variance
=
12.76
= 3.5721
The population standard deviation
= 3.5721
orchestra answered 3 years agoRelated Solutions
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