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Standard Deviation Calculator

Please provide numbers separated by commas to calculate the standard deviation, variance, mean, sum, and margin of error.

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Population Standard Deviation

The population standard deviation, the standard definition of σ, is used when an entire population can be measured, and is the square root of the variance of a given data set. In cases where every member of a population can be sampled, the following equation can be used to find the standard deviation of the entire population:

σ = √[(1/N) Σ(xᵢ - μ)²]

Where:

xᵢ is an individual value

μ is the mean/expected value

N is the total number of values

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