Find the Variance 5 , 1

5 , 1
The mean of a set of numbers is the sum divided by the number of terms.
x&OverBar;=5+12
Add 5 and 1.
x&OverBar;=62
Divide 6 by 2.
x&OverBar;=3
Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.
s2=∑i=1n⁡(xi-xavg)2n-1
Set up the formula for variance for this set of numbers.
s=(5-3)2+(1-3)22-1
Simplify the result.
Simplify the numerator.
Subtract 3 from 5.
s=22+(1-3)22-1
Raise 2 to the power of 2.
s=4+(1-3)22-1
Subtract 3 from 1.
s=4+(-2)22-1
Raise -2 to the power of 2.
s=4+42-1
Add 4 and 4.
s=82-1
s=82-1
Simplify the expression.
Subtract 1 from 2.
s=81
Divide 8 by 1.
s=8
s=8
s=8
Approximate the result.
s2≈8
Find the Variance 5 , 1

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