# Find the Standard Deviation 7 , 950 , 0

7 , 950 , 0
Find the mean.
The mean of a set of numbers is the sum divided by the number of terms.
x&OverBar;=7+950+03
Simplify the numerator.
x&OverBar;=7+9503
x&OverBar;=9573
x&OverBar;=9573
Divide 957 by 3.
x&OverBar;=319
x&OverBar;=319
Simplify each value in the list.
Convert 7 to a decimal value.
7
Convert 950 to a decimal value.
950
Convert 0 to a decimal value.
0
The simplified values are 7,950,0.
7,950,0
7,950,0
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.
s=∑i=1n⁡(xi-xavg)2n-1
Set up the formula for standard deviation for this set of numbers.
s=(7-319)2+(950-319)2+(0-319)23-1
Simplify the result.
Subtract 319 from 7.
s=(-312)2+(950-319)2+(0-319)23-1
Raise -312 to the power of 2.
s=97344+(950-319)2+(0-319)23-1
Subtract 319 from 950.
s=97344+6312+(0-319)23-1
Raise 631 to the power of 2.
s=97344+398161+(0-319)23-1
Subtract 319 from 0.
s=97344+398161+(-319)23-1
Raise -319 to the power of 2.
s=97344+398161+1017613-1
s=495505+1017613-1
s=5972663-1
Subtract 1 from 3.
s=5972662
Divide 597266 by 2.
s=298633
s=298633
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.
546.5
Find the Standard Deviation 7 , 950 , 0

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