Statistics Calculator
Calculate mean, median, mode, range, variance, and standard deviation for any set of numbers. Instant results with full statistical breakdown.
Separate numbers with commas, spaces, or new lines.
Statistics Definitions
Mean: The arithmetic average — sum of all values divided by the count.
Median: The middle value when sorted. For an even count, it's the average of the two middle values.
Mode: The value(s) that appear most frequently. A dataset can have multiple modes or none.
Standard Deviation: Measures the spread of data around the mean. Use σ (population) when you have all data; use s (sample) when working with a sample.
IQR (Interquartile Range): Q3 − Q1. Measures the middle 50% spread and is resistant to outliers.
Frequently Asked Questions
The mean is the arithmetic average (sum ÷ count). The median is the middle value when data is sorted. Median is less affected by extreme outliers.
If all values appear the same number of times, there is no mode. This calculator will show "None" in that case.
Use population standard deviation (σ) when your dataset represents the entire population. Use sample standard deviation (s) when your data is a sample of a larger population.
The Interquartile Range (IQR = Q3 − Q1) measures the spread of the middle 50% of data. It's commonly used to detect outliers: values beyond Q1 − 1.5×IQR or Q3 + 1.5×IQR are considered outliers.
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