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Average/Mean Calculator

Calculate mean, median, mode, range, weighted average, grouped mean, quartiles, variance, standard deviation and outliers. Paste a list of values or enter weighted/grouped data with clear worked steps.

mean • median • mode

Calculator

Enter numbers separated by commas, spaces or new lines.

dp

Sample divides by n−1; population divides by n.

Quick examples

Sum
Q1
Q3
IQR
Variance
Standard deviation
Outliers
Trimmed mean

Worked steps

Sorted data and interpretation

Frequency table

ValueFrequencyPercentage

How averages work

The mean is the most common average. Add all values together, then divide by the number of values.

mean = sum of values ÷ number of values

The median is the middle value after sorting the data. The mode is the most common value. The range is the largest value minus the smallest value.

Weighted averages are used when some values count more than others, such as coursework and exam components with different weightings.

Which average should you use?

Mean

Best when values are fairly balanced and you want the overall arithmetic average.

Median

Better when there are extreme outliers, such as income, house prices or unusually high scores.

Mode

Useful when you want the most common value or category.

Weighted mean

Use when some values are more important than others, such as grades with different percentage weights.

Common questions

What is the difference between average and mean?
In everyday maths, average usually means the arithmetic mean: add the values and divide by how many values there are.
When should I use median instead of mean?
Use the median when outliers would distort the mean. For example, one very large value can pull the mean upwards.
How do weighted averages work?
Multiply each value by its weight, add the weighted values, then divide by the total weight.

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