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SPCXTools

Average Calculator

Paste a list of numbers to get the mean, median, mode, range and standard deviation — or calculate a weighted average.

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How to use Average Calculator

  1. 1Choose List of numbers or Weighted average.
  2. 2For a list, type or paste numbers separated by commas, spaces or new lines — a column copied from a spreadsheet works too.
  3. 3Results appear instantly — mean, median, mode, range, sum, count, standard deviation and more.
  4. 4For a weighted average, enter each value with its weight (for example a grade and its percentage of the final mark).

Calculate averages and basic statistics

Whether you're averaging test scores, monthly expenses, sales figures, lap times or survey answers, this calculator gives you all the common measures of a data set at once. Paste a list of numbers and see the mean, median, mode, range, sum, minimum, maximum and standard deviation immediately. Switch to weighted mode when some values count more than others, such as course grades or portfolio returns.

Features

  • Mean, median and mode side by side.
  • Spread: range, minimum, maximum, and sample and population standard deviation.
  • Geometric and harmonic means for growth rates and averages of rates.
  • Weighted average with any number of value–weight pairs.
  • Flexible input: commas, spaces, semicolons or one number per line; paste straight from Excel or Google Sheets.
  • Private and instant: calculations run in your browser.

Which average should I use?

Measure Best for Example
Mean Data without extreme outliers Average temperature over a week
Median Skewed data or outliers Typical house price or salary
Mode Categories or most common value Most common shoe size sold
Weighted mean Values of different importance Final grade from weighted assignments
Geometric mean Growth rates and ratios Average annual investment return
Harmonic mean Rates and speeds Average speed over equal distances

The median is often more representative than the mean when a few values are extreme. For salaries of 30, 32, 35, 38 and 250 (thousands), the mean is 77 but the median is 35 — much closer to what most people earn.

Understanding standard deviation

Standard deviation measures how spread out the numbers are around the mean. A small value means the numbers are clustered closely together; a large value means they vary a lot. For roughly bell-shaped data, about 68% of values lie within one standard deviation of the mean and about 95% within two.

Related tools

Calculate your grade point average with the GPA Calculator, work out percentage changes with the Percentage Calculator, or evaluate longer formulas with the Scientific Calculator.

Frequently asked questions

How do you calculate the average?
Add up all the numbers and divide by how many there are. For 12, 15 and 18, the sum is 45 and there are 3 numbers, so the average (mean) is 45 ÷ 3 = 15.
What's the difference between mean, median and mode?
The mean is the sum divided by the count. The median is the middle value when the numbers are sorted (or the average of the two middle values). The mode is the value that appears most often. In 2, 3, 3, 5, 12 the mean is 5, the median is 3 and the mode is 3.
How is a weighted average calculated?
Multiply each value by its weight, add the results, and divide by the total of the weights. For grades of 85 (30%), 92 (50%) and 78 (20%): (85 × 30 + 92 × 50 + 78 × 20) ÷ 100 = 87.1.
Should I use sample or population standard deviation?
Use the population standard deviation when your numbers are the complete group you care about, such as every test score in one class. Use the sample standard deviation when the numbers are a sample used to estimate a larger group; it divides by n − 1 instead of n and is slightly larger.
How do I enter decimal numbers?
Use a dot as the decimal separator, for example 2.5. Commas, semicolons, spaces and line breaks all separate numbers, so 2,5 is read as the two numbers 2 and 5.
What if there is no mode?
When every value appears only once, there is no mode. When several values tie for most frequent, all of them are shown.