Finite Math Examples

Find the Variance -23 , -17 , -19 , -5 , -4 , -11 , -31
, , , , , ,
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
Subtract from .
Step 2.2
Subtract from .
Step 2.3
Subtract from .
Step 2.4
Subtract from .
Step 2.5
Subtract from .
Step 2.6
Subtract from .
Step 3
Move the negative in front of the fraction.
Step 4
Divide.
Step 5
The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.
Step 6
Set up the formula for variance. The variance of a set of values is a measure of the spread of its values.
Step 7
Set up the formula for variance for this set of numbers.
Step 8
Simplify the result.
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Step 8.1
Simplify the numerator.
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Step 8.1.1
Add and .
Step 8.1.2
Raise to the power of .
Step 8.1.3
Add and .
Step 8.1.4
Raise to the power of .
Step 8.1.5
Add and .
Step 8.1.6
Raise to the power of .
Step 8.1.7
Add and .
Step 8.1.8
Raise to the power of .
Step 8.1.9
Add and .
Step 8.1.10
Raise to the power of .
Step 8.1.11
Add and .
Step 8.1.12
Raise to the power of .
Step 8.1.13
Add and .
Step 8.1.14
Raise to the power of .
Step 8.1.15
Add and .
Step 8.1.16
Add and .
Step 8.1.17
Add and .
Step 8.1.18
Add and .
Step 8.1.19
Add and .
Step 8.1.20
Add and .
Step 8.2
Simplify the expression.
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Step 8.2.1
Subtract from .
Step 8.2.2
Divide by .
Step 9
Approximate the result.