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Standard Deviation Calculator

Population & sample, with steps โ€” based on current UAE rules. Adjust the inputs and press Calculate.

Result

Fill in the form and press Calculate to see your result here.

How standard deviation is calculated

Standard deviation measures how spread out a set of numbers is from their mean (average). A low standard deviation means values cluster close to the mean; a high one means they're spread widely.

Steps

  1. Find the mean of all values.
  2. Subtract the mean from each value and square the result.
  3. Average those squared differences (divide by n for population, or nโˆ’1 for a sample) โ€” this is the variance.
  4. Take the square root of the variance โ€” this is the standard deviation.

Frequently asked questions

Should I use sample or population standard deviation?

Use population when your numbers are the entire group you care about. Use sample (dividing by nโˆ’1) when your numbers are a sample drawn from a larger population โ€” this is the more common case in surveys and experiments.

Why is variance in different units to my data?

Variance is in squared units because it comes from squared differences. Standard deviation converts it back to the original units by taking the square root, which is why it's usually more intuitive to interpret.

โš ๏ธ This calculator gives an estimate for general information only and is not legal, tax or financial advice. Rules can change โ€” confirm important figures with the relevant UAE authority or a licensed professional. See our full disclaimer.