Enter a list of numbers separated by commas to instantly compute the arithmetic mean, median, mode, and range — with a sorted dataset and frequency analysis.
How to use this calculator
Enter your data values separated by commas or spaces.
Read mean, median, mode, and range simultaneously.
The sorted dataset and mode frequency are also shown for context.
Formula & method
Four central tendency measures
Mean = Σx / N · Median: middle value(s) after sorting · Mode: most frequent value · Range = max − min
For even N, median = average of the two middle values. Mode requires frequency > 1 to exist.
Example
[10, 15, 20, 20, 25, 30] → Mean = 20, Median = 20, Mode = 20 (freq 2), Range = 20.
Key insights
Mean is the arithmetic average: sum ÷ count. Sensitive to outliers.
Median is the middle value when sorted. Robust to extreme outliers.
Mode is the most frequent value. A dataset can have multiple modes or no mode.
Range = max − min. A simple spread measure that is highly influenced by outliers.
How to interpret your result
Mean vs median
If mean > median, the data is likely right-skewed (outliers pulling the average up). If mean < median, left-skewed. For symmetric data, mean ≈ median.
Mode in practice
Mode is the only measure of central tendency applicable to nominal (categorical) data. A dataset with no repeated values has no mode.
How this differs from the Statistics Calculator
This calculator focuses on the four core descriptive measures (mean, median, mode, range). The Statistics Calculator adds variance, standard deviation, quartiles, IQR, and skewness.
Frequently asked questions
What is the mean?
The arithmetic mean (average) = sum of all values ÷ count. It is sensitive to outliers.
What is the median?
The middle value of a sorted dataset. For even counts, average the two middle values. Resistant to outliers.
What is the mode?
The value that appears most frequently. A dataset can be unimodal, bimodal, or multimodal. If no value repeats, there is no mode.
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