Statistics Examples

, , , , , ,
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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Add and .
Add and .
Add and .
Add and .
Add and .
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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Simplify the numerator.
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Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raising to any positive power yields .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Add and .
Add and .
Add and .
Add and .
Add and .
Add and .
Reduce the expression by cancelling the common factors.
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Subtract from .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Step 7
Approximate the result.
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