Finite Math Examples

Find the Variance 415 , 457 , 409 , 237
, , ,
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 3
Cancel the common factor of and .
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Step 3.1
Factor out of .
Step 3.2
Cancel the common factors.
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 4
Divide.
Step 5
Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.
Step 6
Set up the formula for variance for this set of numbers.
Step 7
Simplify the result.
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Step 7.1
Simplify the numerator.
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Step 7.1.1
Subtract from .
Step 7.1.2
Raise to the power of .
Step 7.1.3
Subtract from .
Step 7.1.4
Raise to the power of .
Step 7.1.5
Subtract from .
Step 7.1.6
Raise to the power of .
Step 7.1.7
Subtract from .
Step 7.1.8
Raise to the power of .
Step 7.1.9
Add and .
Step 7.1.10
Add and .
Step 7.1.11
Add and .
Step 7.2
Simplify the expression.
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Step 7.2.1
Subtract from .
Step 7.2.2
Divide by .
Step 8
Approximate the result.