Toolono
Developer Tools
View All Developer ToolsDate & Time
View All Date & Time ToolsText Tools
View All Text ToolsOnline Converters
View All Online ConvertersVariance Calculator
Calculate the population variance of a number list instantly and review the standard deviation, mean, count, and sum.
Calculate variance from a list of numbers
Enter a list of numbers to calculate population variance, then review the standard deviation, mean, count, and sum in one focused result card.
Measure the average squared spread around the mean
Use this variance calculator when you want to measure how spread out a dataset is before taking the square root. It is useful for grades, experiments, analytics, prices, and quick statistics checks where the main question is how far the values sit from the average on a squared-distance basis.
Enter a list of numbers to calculate variance instantly.
Variance result
Review the variance first, then compare the standard deviation, mean, count, and sum from the current dataset.
Live result
Enter numbers to calculate variance.
The population variance will appear here as soon as the input is valid.
How to use the variance calculator
- Enter or paste the numbers you want to evaluate.
- Separate values with commas, spaces, or new lines.
- Review the main result to see the population variance instantly.
- Use the supporting values to compare the standard deviation, mean, count, and sum.
- Use Example to load a sample dataset or Clear to reset the calculator.
Variance calculator examples
-
What is the variance of 12, 15, 18, 21, and 24?
-
Calculate variance from a list of grades
-
Find the variance of a small dataset
-
How do you calculate variance from multiple values?
-
Measure average squared distance from the mean for a number list
What this variance calculator shows
This tool calculates the population variance for a list of numbers and also shows the related standard deviation, mean, count, and sum. Variance is the average squared distance from the mean, so it helps you measure how spread out a dataset is before converting that spread back into the original unit.
When variance is useful
A variance calculator is useful for grades, experiments, finance examples, survey results, analytics, and any dataset where you want a quick measure of spread. It is especially useful when you want the squared-distance measure itself instead of only the standard deviation.
Variance vs standard deviation
Variance is the average squared distance from the mean, while standard deviation is the square root of that variance. They describe the same spread from different angles, but variance keeps the squared scale and standard deviation returns to the original unit.
Variance calculator FAQs
What formula does this variance calculator use?
This tool uses the population variance formula. Variance is the average of squared differences from the mean, so the calculator finds the mean, squares each difference from that mean, adds those squared differences together, and divides by the full count of values.
Does this tool use population or sample variance?
It uses population variance for the current dataset, so the squared distances are divided by the total count of values.
How is variance related to standard deviation?
Standard deviation is the square root of the variance. This tool shows both so you can compare the squared spread and the same-unit spread in one place.
Can I use decimals and negative numbers?
Yes. The calculator accepts valid numeric inputs including decimals and negative values.