# Statistics Examples

, , , ,

Step 1

The mean of a set of numbers is the sum divided by the number of terms.

Step 2

Step 2.1

Add and .

Step 2.2

Add and .

Step 2.3

Add and .

Step 2.4

Add and .

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

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

Add and .

Step 6.1.12

Add and .

Step 6.1.13

Add and .

Step 6.1.14

Add and .

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.