Average (Mean) Calculator

The arithmetic mean — what most people call the "average" — is the sum of all values divided by how many values there are. It represents the central value of a data set when every number contributes equally. If five students score 70, 80, 85, 90, and 95 on a test, the class average is (70 + 80 + 85 + 90 + 95) ÷ 5 = 420 ÷ 5 = 84.

The formula is written as x̄ = (x₁ + x₂ + … + xₙ) ÷ n, where x̄ (x-bar) is the mean, each xᵢ is an individual value, and n is the count. This measure is widely used in statistics, finance, sports analytics, and science because it uses every data point and has well-understood mathematical properties.

When interpreting averages, context matters. The mean can be pulled sharply by extreme values called outliers. If nine employees earn $50,000 and one CEO earns $5,000,000, the mean salary is $545,000 — a figure that none of the regular employees actually earn. In skewed distributions like income or home prices, the median often gives a better sense of a "typical" value. Still, the mean is the right choice when you need the total divided evenly, such as splitting a bill or calculating a grade-point average.

Weighted averages extend the same idea when some values count more than others. A course grade might weight exams at 60% and homework at 40%. You multiply each component by its weight, add the products, and divide by the sum of weights. This calculator computes the simple (unweighted) arithmetic mean, which covers the majority of everyday use cases.

Practical applications include finding your batting average in baseball (hits ÷ at-bats), calculating miles per gallon (total miles ÷ total gallons), determining average daily temperature over a week, and computing grade averages across assignments. Enter your numbers separated by commas or spaces and the calculator sums them and divides by the count automatically — no manual addition required.