Standard Deviation Calculator

Calculate the standard deviation for a set of numbers.

SAMPLE & POPULATION - PASTE DATA - RUNS ON YOUR DEVICE

Your data stays on your device

  • n-1sample
  • npopulation
  • Pastenumbers
  • Privateanalysis
Specification

Standard Deviation Calculator at a glance

Input formats
Pasted list of numbers
Output formats
Mean, variance, and std dev
Maximum file size
Device memory
Batch
One number set at a time
Quality control
Uses n-1 for sample, n for pop
Metadata handling
No data stored
Price
Free
Account required
No
How to

How to use Standard Deviation Calculator

  1. 1

    Enter Your Data

    Paste your list of numbers.

  2. 2

    Select Data Type

    Choose sample or population.

  3. 3

    View Your Results

    Read the statistical results.

Questions

Frequently asked questions

What is the difference between sample and population standard deviation?

Use 'population' when your data includes every member of a group (e.g., one classroom). Use 'sample' for a subset of a larger group (e.g., 100 students representing a country). The sample formula uses n-1 for a better estimate.

How should I format my numbers for the calculator?

Paste numbers separated by commas, spaces, or new lines. The calculator automatically parses these formats and ignores any text or non-numeric symbols, so you do not need to clean your data before pasting it.

Is there a limit to how many numbers I can enter?

The practical input limit depends on your browser, device memory, and dataset.

Are my calculations and data private?

Yes. All calculations are performed directly on your computer within your browser. Your data is never sent to, processed by, or stored on any external server. Your information remains entirely on your own device.

What do the other results like mean and variance represent?

The mean is the average of your numbers. Variance also measures spread; population variance divides by n, sample by n-1. Standard deviation is the square root of variance, returning the measure of spread to the data's original units.

Background

Sample vs. Population

Paste a list of numbers and choose whether it represents a sample or an entire population. The tool instantly provides the mean, variance, and standard deviation.

  • The choice between 'sample' and 'population' is critical for accuracy. Use 'population' if your data includes every member of the group you are studying.
  • Use 'sample' if your data is a subset of a larger group. Its formula divides by n-1 to better estimate the whole population's variation.

Full specification

Specification of the Standard Deviation Calculator tool
Input formatsA list of numbers, pasted as text.
Output formatsCalculated values: mean, variance, and standard deviation for both sample and population.
Maximum file sizeLimited only by your device memory
BatchNot applicable. The tool processes one set of numbers at a time.
Quality controlSample results use nāˆ’1; population results use n.
Metadata handlingNo file metadata is processed; entered numbers remain in the current browser session.
PriceFree
Account requiredNo
Next step

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