Variance Calculator: A Simple Statistical Tool

Get to Know Your Tool

This tool calculates statistical variance and standard deviation for your numbers. It supports both population and sample variance. In population variance, the sum is divided by the count of numbers. In sample variance, the sum is divided by one less than the count.

How to Use This Tool

1. Select the variance type. Use the radio buttons if you want population or sample variance.
2. Enter your numbers. Separate them with commas, spaces, or line breaks.
3. Click the Calculate button.
4. View your results on the screen. The tool shows the mean, variance, standard deviation, and the number count.
5. Read the step-by-step instructions that explain each calculation.

What the Output Means

The output includes the mean, variance, standard deviation, and count. The mean is the average of your numbers. Variance tells you how spread out your values are. Standard deviation gives you an idea of the typical amount of variation from the mean.

Limitations and Special Notes

• Enter numbers only. Non-number values will cause an error.
• You need at least two numbers for the calculations.
• Results will show only after a valid input is submitted.

Common Use Cases

• Students checking homework data.
• Researchers analyzing small data sets.
• Anyone who needs a fast way to see how numbers vary.

Wrap-Up

This calculator breaks down the calculations into clear steps. It helps you understand your data. Give it a try and see the results for yourself.