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

The mean is the arithmetic average — sum divided by count. The median is the middle value when the list is sorted. The mode is the value that appears most often. For symmetric distributions they're equal; for skewed data they differ.

When should I use median instead of mean?

Use the median when your data has outliers or is skewed. For example, average household income is usually reported as median because a few very high earners would drag the mean upward and misrepresent the 'typical' household.

What does standard deviation tell me?

Standard deviation measures how spread out the values are from the mean. A small SD means values cluster tightly around the average; a large SD means they're spread widely. It's the square root of the variance.

What if there are multiple modes?

A dataset can be bimodal (two modes) or multimodal (many modes). This calculator lists all values that share the highest frequency. If every value appears exactly once, there is no mode.

Math

● Math

Average calculator

Paste a list of numbers — get mean, median, mode, range, and standard deviation instantly.

Enter numbers

Separate values with commas, spaces, or new lines.

Mean (average)

Median

15.5

Range

Std deviation

12.3153

Sum / Count

108 / 6

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