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Mathematics
30 November, 20:15
How to calculate standard deviation sample?
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Susan Kline
30 November, 20:37
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Formula for standard deviation sample calculation is:
SD = sqrt ((∑ (x - m) ²) / (n - 1)),
where x stays for each value in the data set, m stays for mean of all values in the data set, and n stays for the number of values in the data set.
For example: Find the sample standard deviation for the set of numbers: 10, 11, 11, 12, 12.
First we will find mean of all avlues: m = (10 + 11 + 11 + 12 + 12) / 5 = 11.2
SD = sqrt ((1.2² + 0.2² + 0.2² + 0.8² + 0.8²) / (5 - 1)) =
= sqrt (2.8 / 4) = √0.7 = 0.837
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