Question

In: Math

Calculate the mean, ?⎯⎯⎯,x¯, and standard deviation, ?,s, for the data set. Sample Value 1 8.013...

Calculate the mean, ?⎯⎯⎯,x¯, and standard deviation, ?,s, for the data set.

Sample	Value
1	8.013
2	8.013
3	8.012
4	8.029
5	8.013
6	8.025

Expert Solution

Solution:

Given that,

x	x²
8.013	64.2082
8.013	64.2082
8.012	64.1921
8.029	64.4648
8.013	64.2082
8.025	64.4006
x =48.105	x² =385.6821

The sample mean is

Mean = (x / n)

= (8.013 +8.013 +8.012+8.029+8.013+8.025 / 6 )

= 48.105 /6

= 8.0175

Mean = 8.0175

The sample standard deviation is S

S = ( x² ) - (( fx)² / n ) / 1 -n )

= ( 385.6821 ( (48.105 )² / 6 ) / 5

= ( 385.6821 - 385.6818 / 5 )

= (0.0003 / 5 )

= 0.0001

=0.0075

The sample standard deviation is = 0.0075

milcah answered 2 years ago

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