Mean, Median, Mode, Range Calculator
Calculate your Central tendency in seconds with the free Mean Median Mode Range Calculator. No registration needed.
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What is a Mean, Median, Mode, Range Calculator?
This calculator computes four key measures of central tendency and spread in one go: the mean (average), median (middle value), mode (most frequent value), and range (spread). It helps you quickly summarize and understand any data set.
How to calculate mean, median, mode, and range manually
Mean = sum of all values ÷ count. Median = middle value when sorted (average of two middle if even count). Mode = most frequent value. Range = maximum − minimum.
Example calculation
For 3, 7, 7, 2, 9, 4: sorted = 2, 3, 4, 7, 7, 9. Mean = 32 ÷ 6 ≈ 5.33. Median = (4 + 7) ÷ 2 = 5.5. Mode = 7. Range = 9 − 2 = 7.
Common mistakes
- Forgetting to sort for median — Always sort the values before finding the median.
- Thinking there is always one mode — A set can have multiple modes or none at all.
- Confusing range with mean — Range measures spread, not central tendency.
Frequently asked questions
What is the mean?
The sum of all values divided by the count.
What is the median?
The middle value when sorted.
What is the mode?
The most frequent value.
What is the range?
The difference between the largest and smallest values.
How do I find the median of an even set?
Average the two middle values after sorting.
Can a data set have no mode?
Yes, if every value appears exactly once.