Finite Math Examples

Find the Variance 38 , 62
,
Step 1
The mean of a set of numbers is the sum divided by the number of terms.
Step 2
Cancel the common factor of and .
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Step 2.1
Factor out of .
Step 2.2
Factor out of .
Step 2.3
Factor out of .
Step 2.4
Cancel the common factors.
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Step 2.4.1
Factor out of .
Step 2.4.2
Cancel the common factor.
Step 2.4.3
Rewrite the expression.
Step 2.4.4
Divide by .
Step 3
Add and .
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
Add and .
Step 6.2
Simplify the expression.
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Step 6.2.1
Subtract from .
Step 6.2.2
Divide by .
Step 7
Approximate the result.