Mean, Variance & Standard Deviation Calculator
Just paste your numbers to instantly compute summary statistics including the mean, variance, standard deviation, and median.
Last updated:
Input
Numeric data (separated by line breaks, commas, or spaces)
Values recognized as numbers: 10
Result
Mean
80.4
Std dev (sample)
9.7662
Sample variance
95.3778
Number of values
10
Summary statistics
| Statistic | Value |
|---|---|
| Number of values | 10 |
| Sum | 804 |
| Mean | 80.4 |
| Median | 82 |
| Minimum | 64 |
| Maximum | 95 |
| Range (max โ min) | 31 |
| Population variance (รทn) | 85.84 |
| Sample variance (รทnโ1) | 95.3778 |
| Population std dev | 9.265 |
| Sample std dev | 9.7662 |
How it works
- Your numeric data can be separated by line breaks, commas, or spaces. Anything that cannot be read as a number is ignored automatically, and the count of recognized values is shown on screen.
- The mean is the arithmetic average: the sum of all values divided by the number of values. The median is the middle value when the data is sorted, making it less sensitive to outliers.
- Two kinds of variance are shown: the 'population variance' divides by the number of values n, while the 'sample variance' divides by nโ1. Use the population variance to describe the spread of the data you have, and the sample variance to estimate the variance of a larger population from which the data was drawn.
- Standard deviation is the square root of the variance, expressing the spread in the same unit as the original data. This tool lists both the population and sample standard deviations.
- When there is only one value, the sample variance and sample standard deviation cannot be defined and are not shown (they are calculated for two or more values).
- It is handy whenever you want to quickly grasp how spread out a set of numbers is, such as test score variability, product weight control, or comparing survey scores.
Frequently asked questions
- What is the difference between sample variance and unbiased variance?
- Sample variance divides by the number of data points n and describes the spread of the data you have. Unbiased variance divides by nโ1 and estimates the population variance when your data is treated as a sample. This tool shows both.
- Should I look at the mean or the median?
- The mean is the arithmetic average of all values, while the median is the middle value when the data is sorted and is less affected by outliers. When extreme values are present, it is best to check the median as well.
- Can it calculate with only one data point?
- The mean and median can be shown for a single value, but the unbiased variance and unbiased standard deviation require at least two data points. Values can be separated by line breaks, commas, or spaces.
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