Average Calculator

📊 Average
Live result

Separate numbers with commas, spaces or new lines.

Examples:
Mean (average) 5 numbers
6
Median6
Mode8
Range5
Sum30
Formula: Mean = Sum ÷ Count
Step-by-Step:

An average calculator finds the typical value of a list of numbers. Paste your numbers to get the mean, median, mode and range, switch to a weighted average for grades that count differently, or work out the score you need to reach a target average.

Mean, Median, Mode & Range

Four ways to describe the same list. Here they are for 3, 5, 6, 8, 8.

Mean

Add them all, divide by how many.

30 ÷ 5=6

Median

The middle value once sorted. With an even count, average the middle two.

3 5 [6] 8 8→6

Mode

The value that appears most often. There can be none, or several.

8 appears twice→8

Range

How spread out the list is: largest minus smallest.

8 − 3=5

When the Mean Misleads

One extreme value drags the mean toward it, while the median stays with the middle of the group. Here are five salaries.

Mean Pulled up by one high salary
$85k
40k 42k 45k 48k 250k
425k ÷ 5 = 85k
$85,000
Median The middle salary
$45k
40k 42k [45k] 48k 250k
middle of 5 values
$45,000
Read more

Four of the five people earn less than the mean. Read Mean vs Median: Which Average Should You Use? for when each one gives the fairer picture.

When Some Numbers Count More

In a weighted average each value is multiplied by how much it counts. It's how most course grades are worked out.

Part of the gradeScoreWeightScore × weight
Homework9020%18
Quizzes8030%24
Final exam7050%35
Weighted average100%77
Don't average percentages from different-sized groups 9 of 10 on one quiz (90%) and 15 of 30 on another (50%) is 24 of 40 overall, which is 60%, not the 70% you get by averaging 90 and 50. Weight each percent by its group size, or add up the raw scores first.

The Score You Need for a Target Average

Work backwards from the total points the target requires.

  1. Total the Target Needs

    Target × number of tests. An 85 average over 4 tests needs 85 × 4 = 340 points.

  2. Subtract What You Have

    Scores of 82, 75 and 90 add up to 247, so you still need 340 − 247 = 93 points.

  3. Share It Out

    With one test left, you need 93. With two tests left, divide what's needed between them.

Averages on a 4 Function Calculator

Press = after adding, so the division applies to the whole sum. For a weighted average, the memory keys on a basic calculator keep a running total.

Mean of 3, 5, 6, 8, 8

3+5+6+8+8=then÷5=
6

Weighted Grade

90×0.2=M+ 80×0.3=M+ 70×0.5=M+ thenMR
77

Score Needed

85×4=then−82−75−90=
93

Frequently Asked Questions

How do I find the average of a list of numbers?

Add the numbers and divide by how many there are. The average of 3, 5, 6, 8 and 8 is 30 ÷ 5 = 6. This kind of average is called the mean.

What is the difference between the mean and the median?

The mean adds every value and divides by the count; the median is the middle value once the list is sorted. One very large or very small value pulls the mean but barely moves the median: for salaries of 40k, 42k, 45k, 48k and 250k, the mean is 85k but the median is 45k.

Can there be no mode, or more than one?

Yes. If every value appears once, there is no mode. If two or more values tie for the most appearances, they are all modes: 2, 2, 5, 7, 7 has two modes, 2 and 7.

How does a weighted average work?

Multiply each value by its weight, add the results, and divide by the total weight. Homework 90 (20%), quizzes 80 (30%) and an exam 70 (50%) give 90 × 0.2 + 80 × 0.3 + 70 × 0.5 = 77.

Can I average percentages?

Only if each percentage comes from the same-sized group. 9 of 10 (90%) and 15 of 30 (50%) is 24 of 40 overall, which is 60%, not the 70% you get by averaging 90 and 50. Use a weighted average when the group sizes differ.

What score do I need to get a certain average?

Multiply the target average by the total number of tests, then subtract the points you already have. With 82, 75 and 90 and a target of 85 after 4 tests, you need 85 × 4 − 247 = 93 on the last test.