Statistics Calculator
Calculate mean, median, mode, range, variance, standard deviation, quartiles, IQR, and more from a list of numbers.
Mean
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Median
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Mode
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Count
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Sum
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Min
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Max
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Range
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Pop. Std Dev
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Sample Std Dev
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Pop. Variance
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Sample Variance
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Q1
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Q3
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IQR
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What is Statistics Calculator?
The statistics calculator computes a full set of descriptive statistics from a list of comma-separated numbers. It covers central tendency (mean, median, mode), dispersion (range, variance, standard deviation), position (Q1, Q3, IQR), and summary values (min, max, count, sum).
How to use
- 1 Enter your numbers separated by commas in the text area.
- 2 Numbers can include decimals and negatives.
- 3 Click Calculate to compute all statistics instantly.
- 4 Both population and sample variance/standard deviation are shown.
- 5 Quartiles use the inclusive method (Q1 = median of lower half).
Formula
Example calculation
Data: 2, 4, 4, 4, 5, 5, 7, 9. Mean = 5, Median = 4.5, Mode = 4, Range = 7, Population SD ≈ 1.77, Sample SD ≈ 2.0.
Frequently asked questions
What is the difference between population and sample variance?
Population variance divides by n (the total count). Sample variance divides by n−1 (Bessel's correction) to account for the fact that a sample underestimates the true population variability.
How is the median calculated?
Sort the data. If the count is odd, the median is the middle value. If even, it is the average of the two middle values.
What if there is no mode?
If no value repeats, the dataset has no mode. If multiple values tie for most frequent, all are modes (multimodal). This calculator shows the first mode found.
What is the IQR used for?
The interquartile range (Q3 − Q1) measures the spread of the middle 50% of data. It is used to detect outliers: values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR are potential outliers.
How many numbers can I enter?
You can enter as many numbers as needed. Separate them with commas. Spaces and empty entries are ignored automatically.