Average Calculator

Paste or type a list of numbers and this calculator gives every common kind of average at once: the mean, the median and the mode, with the sum, the smallest and largest values, the range, the standard deviation, and the geometric and harmonic means. A second mode works out a weighted average, where some values count more than others — marks weighted by course credits, or prices weighted by quantity.

1. Choose "A list of numbers", or "Weighted" for values with weights.
2. Paste or type the numbers, separated by commas, spaces, semicolons or new lines. A column copied from a spreadsheet works as it is.
3. If your numbers use commas to group thousands, as in 1,00,000, turn on "Commas group thousands" so they are not read as separate numbers.
4. For a weighted average, put one value and its weight on each line, such as "85 4" for a mark of 85 on a four-credit course.

• Up to 50,000 numbers are used; past that the rest are left out and the page says so.
• Anything that is not a number, such as a word or "n/a", is left out and listed under the answer, so you can see what was skipped.
• Sums, means, medians and standard deviations are worked out in decimal arithmetic to 40 significant digits, so 0.1 + 0.2 is 0.3. They are shown to 12 significant digits. The geometric mean uses ordinary floating point and is good to about 12 digits.
• The geometric and harmonic means are shown only when every number is above zero; they are not defined otherwise.
• The numbers stay in this page. They are not sent anywhere or saved, and the calculator works offline once loaded.

The mean is the total divided by the count. The median is the middle value when the numbers are sorted, so one very large value does not drag it up the way it drags the mean. The mode is the value that appears most often, and there can be more than one, or none if no value repeats.

Use the population figure when your list is the whole group you care about, such as every student in one class. Use the sample figure when the list is a sample standing in for a larger group, such as a survey; dividing by n − 1 corrects for a sample tending to spread less than the group it came from.

Multiply each value by its weight, add up the results, and divide by the total of the weights. For marks of 85 on 4 credits and 72 on 3 credits, that is (85 × 4 + 72 × 3) ÷ 7 = 79.43.

Most universities compute CGPA as a credit-weighted average of grade points, which is what the weighted mode does: enter each grade point and its credits. Some institutions use their own rules, such as dropping failed courses, so check your university’s regulations.

For rates of growth that multiply. If an investment grows 10% one year and 50% the next, its average yearly growth is the geometric mean of 1.1 and 1.5, minus one: about 28.5%, not the 30% the ordinary mean suggests.