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Math

Average Calculator

Calculate the mean, median, mode, range, and sum of any list of numbers instantly.

What is Average Calculator?

An average calculator computes the mean of a set of numbers along with other key descriptive statistics: median, mode, range, sum, and count. These measures help summarize a dataset and are fundamental to statistics, science, finance, and everyday decision-making.

How to use

  1. 1 Type or paste your numbers into the input box, separated by commas or spaces.
  2. 2 Results update automatically as you type.
  3. 3 The mean (average) is highlighted as the primary result.
  4. 4 Scroll down to see the sorted list of your values for a quick visual check.

Formula

Mean = Sum of all values / Count of values. Median = middle value of the sorted list (average of two middle values if even count). Range = Maximum value - Minimum value.

Example calculation

For the numbers 4, 8, 15, 16, 23, 42: the sum is 108, count is 6, so the mean is 18. The sorted list is 4, 8, 15, 16, 23, 42, so the median is (15 + 16) / 2 = 15.5.

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 when sorted. The mode is the value that appears most frequently. Each is useful in different situations.

When should I use median instead of mean?

Use the median when your data has outliers or is skewed. For example, median household income is preferred over mean because a few very high earners would distort the mean upward.

What if there is no mode?

If all values appear exactly once, there is no mode. This calculator shows 'None' in that case.

How is range calculated?

Range is the difference between the largest and smallest values in the dataset. It measures the spread but is sensitive to outliers.

Can I include negative numbers?

Yes. The calculator handles negative numbers, decimals, and any mix of positive and negative values.