# Statistics Examples

, , , ,
Step 1
The mean of a set of numbers is the sum divided by the number of terms.
Step 2
Simplify the numerator.
Step 2.1
Step 2.2
Step 2.3
Step 2.4
Step 3
Divide by .
Step 4
Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.
Step 5
Set up the formula for variance for this set of numbers.
Step 6
Simplify the result.
Step 6.1
Simplify the numerator.
Step 6.1.1
Subtract from .
Step 6.1.2
Raise to the power of .
Step 6.1.3
Subtract from .
Step 6.1.4
Raise to the power of .
Step 6.1.5
Subtract from .
Step 6.1.6
Raise to the power of .
Step 6.1.7
Subtract from .
Step 6.1.8
Raise to the power of .
Step 6.1.9
Subtract from .
Step 6.1.10
Raise to the power of .
Step 6.1.11
Step 6.1.12
Step 6.1.13
Step 6.1.14
Step 6.2
Reduce the expression by cancelling the common factors.
Step 6.2.1
Subtract from .
Step 6.2.2
Cancel the common factor of and .
Step 6.2.2.1
Factor out of .
Step 6.2.2.2
Cancel the common factors.
Step 6.2.2.2.1
Factor out of .
Step 6.2.2.2.2
Cancel the common factor.
Step 6.2.2.2.3
Rewrite the expression.
Step 7
Approximate the result.