The standard deviation is a measurement of the dispersion of data around the mean value. It is useful for comparing data sets that have the same mean but a different range. The mean of the following two numbers, for example, is the same: 8, 12, 12, 13, 15 and 2, 10, 12, 20, 30. The second, on the other hand, is clearly more dispersed.
Table of Contents
Steps to Calculate Standard Deviation
- Calculate the the average of the numbers
- Then for each number: subtract the Mean and square the result.
- Calculate the mean of those squared differences.
- Take the square root of that.
- μ (the greek letter “mu”) is the mean of all our values
- xi is the individual value of given dat
- Σ (sigma) is the symbol to add all values
- σ (the Greek letter sigma) is the symbol for Standard Deviation
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