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

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 2 years ago

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