Finite Math Examples

Find the Variance 17 , 18 , 19 , 20 , 21
, , , ,
Step 1
The mean of a set of numbers is the sum divided by the number of terms.
Step 2
Simplify the numerator.
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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
Simplify the result.
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Step 6.1
Simplify the numerator.
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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
Raising to any positive power yields .
Step 6.1.7
Subtract from .
Step 6.1.8
One to any power is one.
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.
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Step 6.2.1
Subtract from .
Step 6.2.2
Cancel the common factor of and .
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Step 6.2.2.1
Factor out of .
Step 6.2.2.2
Cancel the common factors.
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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.