# Find the Standard Deviation 25 , 32 , 16 , 12 , 11 , 38 , 22 , 21 , 19 , 20

, , , , , , , , ,
Find the mean.
The mean of a set of numbers is the sum divided by the number of terms.
Simplify the numerator.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide.
Simplify each value in the list.
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.
Convert to a decimal value.
Convert to a decimal value.
Convert to a decimal value.
The simplified values are .
Set up the formula for sample 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.
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .
Subtract from .
Raise to the power of .