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The Standard Deviation :: Standard Deviation Calculation
Calculate the Standard Deviation for the following data using the calculator to the right (round to 1 decimal points). Click on the Check Answer button to see how you did.
Data:
2, 8, 10, 11, 12, 16, 20
1
Add up all the values.
Sum
79
2
Count the total number of values.
n
7
3
Divide the Sum by the the total number of values.
Mean
11.3
4
Subtract the mean from each value. Then Square that result.
Value
ValueMean
(ValueMean)
^{2}
2
9.3
86.5
8
3.3
10.9
10
1.3
1.7
11
0.3
0.1
12
0.7
0.5
16
4.7
22.1
20
8.7
75.7
5
Add up all the squared deviations.
Sum of Squared Deviations
197.5
6
Divide the Sum of Squared Deviations by n1.
Sample Variance
32.9
7
Take the square root of the variance.
sample standard deviation
5.7
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September 9, 2013  Megan Garcia wrote:
why does the calculator say that 1212.9=0.9000000000000004 ?
February 2, 2013  Elsy wrote:
Great explanation, tools and visuals. Thank you.
June 12, 2012  Dennis wrote:
How do I divide in step 6
April 17, 2010  Marie wrote:
sample variance did not make sense. Divide the sum of squared deviations n1
September 21, 2009  anonomous wrote:
This was an excellent tutorial on stsndard deviation. Thank Y
September 15, 2009  Dave Mills wrote:
Excellent course! Thnak you!
March 18, 2009  Omar wrote:
Why do you divide the Sum of Squared Deviations by n1 to get the sample variance?