Average Calculator

Calculate mean, median, mode, and range from a list of numbers. Supports large datasets.

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Separate values with commas, spaces, or new lines.

Mean, Median, Mode, and Range Explained

Mean (Arithmetic Average)

Add all values and divide by the count.
Formula: Mean = Sum ÷ Count
Example: 2 → Sum = 30, Count = 5 → Mean = 6

Median

Sort the values. If the count is odd, the median is the middle value. If even, it is the mean of the two middle values.
Example (odd): 10 → Median = 6
Example (even): 8 → Median = (4 + 6) / 2 = 5

Mode

The value (or values) that appear most frequently. A dataset can have no mode, one mode, or multiple modes.
Example: 4 → Mode = 2

Range

The difference between the maximum and minimum values.
Formula: Range = Max − Min
Example: 10 → Range = 10 − 2 = 8

Frequently Asked Questions

The mean is the sum of all values divided by the count. The median is the middle value when sorted. The mode is the value that appears most often. All three are measures of central tendency.

Use the median when your data contains outliers or is skewed. For example, median household income is more representative than mean income because a few very high earners can pull the mean far above what most people earn.

If every value appears exactly once, there is no mode. If multiple values share the highest frequency, the dataset is multimodal and all of those values are modes.

Range is the difference between the highest and lowest values. It measures the spread of the data. A large range means the data is spread out; a small range means it is clustered.

Type or paste your numbers separated by commas, spaces, or new lines. For example: 4, 8, 15, 16, 23, 42 or just 4 8 15 16 23 42.