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Average Calculator

Mean, median, mode, range โ€” every summary stat for your data set.

Mean (average)
18
Median
15.5
Mode
none (all unique)
Range
38
Count
6
Sum
108
Minimum
4
Maximum
42

Mean: sum รท count = 108 รท 6 = 18

Median: middle of sorted list [4, 8, 15, 16, 23, 42] = 15.5

Range: max โˆ’ min = 42 โˆ’ 4 = 38

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Mean, Median, Mode: Which Average?

โ€œAverageโ€ usually means the mean โ€” add everything up and divide by how many numbers there are. But the mean is only one way to summarize data, and it can mislead when a few extreme values pull it away from the typical case.

The Three Averages

  • Mean: sum รท count. Best for symmetric data without outliers (test scores, measurements).
  • Median: the middle value when sorted. Best for skewed data like incomes or house prices.
  • Mode: the most common value. Best for categories โ€” the most popular shoe size, the most common exam answer.

Range and Spread

The range (max โˆ’ min) is the quickest measure of spread: two classes can share a mean of 75 while one ranges 70โ€“80 and the other 40โ€“100. Always pair an average with a sense of spread before drawing conclusions.

Need the building blocks for these stats? Try our four-function calculator or the percentage calculator.

Frequently Asked Questions

What is the difference between mean, median, and mode?

The mean is the sum divided by the count; the median is the middle value of the sorted list; the mode is the most frequent value. For 2, 3, 3, 9: the mean is 4.25, the median is 3, and the mode is 3.

When should I use the median instead of the mean?

Use the median when outliers skew the data โ€” for example, house prices or incomes, where one mansion or billionaire would drag the mean far from the typical value. The median resists outliers.

Can a data set have more than one mode?

Yes. If two or more values tie for the highest frequency, the data set is bimodal or multimodal โ€” this calculator lists every mode. If all values appear once, there is no mode.

Is this average calculator free?

Yes โ€” every tool on Math Solver Free is free with no sign-up, and all calculations run in your browser.