Mean, Median & Mode Calculator

Enter a list of numbers to instantly get mean, median, mode, range, and more.

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Understanding the Statistics

StatisticDefinitionExample (2,4,4,6,8)
MeanSum of all values รท count(2+4+4+6+8)/5 = 4.8
MedianMiddle value when sorted4 (the middle number)
ModeMost frequently occurring value4 (appears twice)
RangeMax โˆ’ Min8 โˆ’ 2 = 6
VarianceAverage of squared deviations4.16
Std DevSquare root of varianceโ‰ˆ 2.04

Statistics FAQ

What's the difference between mean and median?
The mean (average) is sensitive to outliers โ€” one very high or low value can skew it significantly. The median (middle value) is more resistant to outliers. For example, in income statistics, median income is used because a few billionaires would inflate the mean to be unrepresentative.
What if there is no mode?
If no number appears more than once, there is no mode. If multiple numbers appear the same number of times (and more than once), the dataset is "multimodal" and has more than one mode.
What is standard deviation used for?
Standard deviation measures how spread out the numbers are from the mean. A low standard deviation means values are clustered closely around the mean. A high standard deviation means values are spread out widely. It's used in grades, finance, science, and quality control.
What's the difference between population and sample standard deviation?
Population std dev (ฯƒ) is used when your data IS the entire population. Sample std dev (s) is used when your data is a sample from a larger population โ€” it divides by (nโˆ’1) instead of n to correct for bias. For most school problems, population std dev is used.