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Mean, Variance & Standard Deviation Calculator

Just paste your numbers to instantly compute summary statistics including the mean, variance, standard deviation, and median.

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

StatisticValue
Number of values10
Sum804
Mean80.4
Median82
Minimum64
Maximum95
Range (max − min)31
Population variance (÷n)85.84
Sample variance (÷n−1)95.3778
Population std dev9.265
Sample std dev9.7662

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 n−1. 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.