Average Calculator
Mean, median, and mode walk into a bar. The mean buys a round for everyone.
Separate numbers with commas, spaces, or new lines
About This Calculator
How It Works
Enter any list of numbers and this calculator computes all four key descriptive statistics at once: mean (the arithmetic average), median (the middle value when sorted), mode (the most frequently occurring value), and range (the spread from lowest to highest). These four numbers together give you a much more honest picture of a dataset than any single 'average' alone โ which is exactly why they're taught together in statistics.
The Formula
Mean = ฮฃx/n. Median = middle value(s) when sorted. Mode = most frequent value(s). Range = max - min.
When to Use This
Use this when you have a set of numbers and need to understand their central tendency and spread. It's practical for analyzing test scores, comparing prices across multiple options, understanding survey data, or checking your math after a manual calculation. The median is particularly useful when your dataset has outliers โ a few extreme values drag the mean far from what's 'typical,' while the median stays grounded in the middle.
Example
Data: [1, 2, 2, 3, 100]. Mean = 21.6. Median = 2. Mode = 2. Range = 99. Three different 'averages.' This is why statistics requires context.
Did You Know?
Mean, median, and mode can all be very different numbers for the same data set. That's why statistics can be used to tell very different stories from the same data. Always ask: 'which average?'