Average, Median & Mode Calculator
Paste or type your numbers, separated by commas, spaces or new lines, and get the mean, median, mode and range at once.
Statistical Calculator
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Mean, Median, Mode, and Range Explained
Mean, median, mode, and range are fundamental concepts in statistics used to summarize and analyze sets of numbers. These measures help describe the "average" and spread of data in fields like mathematics, economics, science, business, and data analysis.
Mean (Arithmetic Average)
The mean is calculated by adding all numbers in a data set and dividing by the total number of values.
Mean = (Sum of all values) ÷ (Number of values)
Example: 2, 4, 6, 8, 10
(2 + 4 + 6 + 8 + 10) ÷ 5 = 6
Median (Middle Value)
The median is the middle number in a sorted data set.
Odd count
3, 5, 7, 9, 11
Median = 7
Even count
2, 4, 6, 8
(4 + 6) ÷ 2 = 5
Mode (Most Frequent Value)
The mode is the number that appears most often in a data set.
Example: 1, 2, 2, 3, 4 → Mode = 2
Unimodal – one mode
Bimodal – two modes
Multimodal – more than two
Range (Spread of Data)
The range measures how spread out a data set is.
Range = Maximum value − Minimum value
Example: 3, 7, 12, 20 → Range = 20 − 3 = 17
Why These Measures Are Important
Education
Exam score analysis
Business
Sales and revenue trends
Economics
Income and inflation analysis
Science
Experimental data evaluation
Example of All Four Together
Data set: 2, 4, 4, 6, 8, 10
Mean
5.67
Median
5
Mode
4
Range
8
Calculate average, median, mode, and range of a data set — for statistics, data analysis, and academic work.
Formula
Average = sum ÷ count. Median = middle value. Mode = most frequent. Range = max - min.
Reference Values
- •Average can be skewed by outliers
- •Median is robust to outliers
- •Mode may not exist or be unique
FAQ
Common questions about Average & Median Calculator
How we calculate this
We use the standard published formula for this calculation, and we show the working so you can check it.
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