Statistics Examples

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Find the mean.
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The mean of a set of numbers is the sum divided by the number of terms.
Simplify the numerator.
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Add and to get .
Add and to get .
Add and to get .
Add and to get .
Add and to get .
Add and to get .
Divide by to get .
Simplify each value in the list.
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Convert to a decimal value.
Convert to a decimal value.
Convert to a decimal value.
Convert to a decimal value.
Convert to a decimal value.
Convert to a decimal value.
Convert to a decimal value.
The simplified values are .
Set up the formula for standard deviation. The standard deviation of a set of values is a measure of the spread of its values.
Set up the formula for standard deviation for this set of numbers.
Simplify the result.
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Simplify the expression.
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Subtract from to get .
Raise to the power of to get .
Subtract from to get .
Raise to the power of to get .
Subtract from to get .
Raise to the power of to get .
Subtract from to get .
Remove parentheses around .
Raising to any positive power yields .
Subtract from to get .
Remove parentheses around .
Raise to the power of to get .
Subtract from to get .
Remove parentheses around .
Raise to the power of to get .
Subtract from to get .
Remove parentheses around .
Raise to the power of to get .
Add and to get .
Add and to get .
Add and to get .
Add and to get .
Add and to get .
Add and to get .
Subtract from to get .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
Simplify the numerator.
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Rewrite as .
Pull terms out from under the radical.
Multiply by .
Simplify.
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Combine.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and to get .
Rewrite as .
Simplify .
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Combine using the product rule for radicals.
Multiply by to get .
The standard deviation 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.
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