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Standard Deviation

Calculate standard deviation and variance

How It Works

Standard deviation is a measure of the dispersion of a set of data from its mean. It is calculated as the square root of the variance. A low standard deviation indicates that values tend to be close to the mean, while a high standard deviation indicates that values are spread out.

Standard deviation is a measure of the dispersion of a set of data from its mean. It is calculated as the square root of the variance. Standard deviation is widely used in experimental and industrial settings to test models against real-world data. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range.

The population standard deviation (σ) is used when the data represents the entire population. The sample standard deviation (s) is used when the data is a sample of a larger population, using n−1 in the denominator (Bessel's correction) to correct for bias.

Results

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Quick Tips

  • • Results update automatically as you type
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  • • Press Enter to calculate

Frequently Asked Questions

How does the Standard Deviation work?
Simply enter your values into the input fields above. The Standard Deviation uses standard formulas to compute results instantly as you type or click.
Is the Standard Deviation free?
Yes, this calculator is completely free to use. No registration, no hidden fees, no limits.
How accurate are the results?
Results are computed using industry-standard mathematical formulas. For critical decisions, we recommend consulting a professional.
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