Average Calculator

Enter numbers separated by commas (or spaces). At least one value required.
Math

Find the mean, median, mode and range of a list of numbers at once. Enter your values separated by commas or spaces and the calculator returns the mean (arithmetic average), the median (middle value), the mode (most frequent value), the range (max − min), plus the count and sum. It's a quick way to summarise a data set.

Formula

Mean = Σx / n. Median = middle value of sorted list. Mode = most frequent value. Range = max − min.
  • Mean is the sum of all values divided by how many there are (Σx / n) — the everyday 'average'.
  • Median is the middle value once the numbers are sorted; with an even count it is the average of the two middle values, making it robust to outliers.
  • Mode is the value that appears most often; a list with no repeats has no mode, and ties report all the most frequent values.
  • Range is the largest value minus the smallest, giving a simple measure of spread.

Example: 4, 8, 15, 16, 23, 42

Inputs
  • Numbers: 4, 8, 15, 16, 23, 42

For 4, 8, 15, 16, 23, 42 the mean is 108 ÷ 6 = 18, the median is (15 + 16) ÷ 2 = 15.5, there is no mode (no repeats), and the range is 42 − 4 = 38.

Frequently asked questions

What is the difference between mean, median and mode?
The mean is the arithmetic average, the median is the middle value of the sorted list, and the mode is the most frequently occurring value. They can all differ, especially in skewed data.
When should I use the median instead of the mean?
Use the median when the data has outliers or is skewed, since it is not pulled toward extreme values the way the mean is — for example with incomes or house prices.
What does 'no mode' mean?
It means every value appears the same number of times (usually once), so there is no single most frequent value.
How do I enter my numbers?
Type them separated by commas or spaces, for example 10, 20, 30, 40. The calculator ignores anything that isn't a number.
What is the range used for?
The range (maximum minus minimum) is a quick measure of how spread out the data is, though it only reflects the two extreme values and not the distribution in between.

Related calculators

Standard Deviation Calculator Standard Deviation Calculator is a mathematics calculator that helps you calculate statistical measures from a data set. The formula used is: Population σ = √(Σ(x−μ)² / N). Sample s = √(Σ(x−x̄)² / (N−1)). The sample formula uses N−1 (Bessel's correction) for an unbiased estimate.. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units. Percentage Calculator Popular Percentage Calculator is a mathematics calculator that helps you calculate a percentage from a part and a whole, or a percentage change. The formula used is: A% of B = (A ÷ 100) × B. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units. Ratio Calculator Popular Ratio Calculator is a mathematics calculator that helps you calculate the ratio between two numbers in simplified form. The formula used is: Simplify: divide both terms by their GCD. Proportion: if a:b = c:d, then d = (b × c) / a.. Ensure all inputs share the same unit system (e.g. all metres or all feet) unless the formula converts between units.