Calculators
Average Calculator
Find the mean, median, smallest and largest value, count and sum of a list of numbers.
About the Average Calculator
The Average Calculator takes a list of numbers and gives the mean, median, mode, range, smallest and largest values, count, sum and standard deviation, with a number line that shows where the mean and median sit among your values. Add weights for a weighted average, like marks worth different credits.
What you can do with the Average Calculator
- Every average: Mean, median, mode, range, min, max, sum and count.
- Standard deviation: See how spread out your numbers are.
- Number line: Shows where the mean and median sit.
- Weighted average: Add weights, like credits for marks.
Mean or median?
The mean adds everything up and divides by how many numbers there are. The median is the middle value when the numbers are sorted. One very large or very small number pulls the mean towards it while barely moving the median, you can see that on the number line.
An example with an outlier
If five people earn 30,000, 32,000, 35,000, 38,000 and 3,00,000, the mean is 87,000, higher than four of the five salaries. The median, 35,000, describes a typical person much better. That's why figures like average incomes are usually reported as medians.
Weighted averages
When some values count more than others, like marks in subjects with different credits, write each as value:weight, for example 85:4. The weighted average multiplies each value by its weight and divides by the total weight.
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Frequently Asked Questions
How do I calculate the average?
Add all the numbers and divide by how many there are. Paste your numbers and the mean appears at the top.
Which standard deviation should I use?
Use the population figure when your list is every value there is, and the sample figure when your list is a sample from a bigger group.
Can I calculate a weighted average?
Yes. Write each number with its weight after a colon, like 85:4 70:2 90:3.
When should I use the median instead of the mean?
Use the median when a few very large or small values would pull the mean away from the typical value. Monthly salaries of 25,000, 28,000, 30,000, 32,000 and 2,50,000 have a mean of 73,000 but a median of 30,000, which better describes most people.
Why are my numbers with commas splitting up?
Commas, spaces, semicolons and new lines all separate numbers, so 1,00,000 is read as three numbers: 1, 0 and 0. Type large amounts without commas, such as 100000, or put one number on each line without digit grouping.
What score do I need in my next test to reach a target average?
Multiply the target average by the total number of tests, then subtract the marks you already have. With an average of 72 after 4 tests and a target of 75 over 5, you need 75 x 5 - 72 x 4 = 87 in the fifth test.
Why does the mode say none?
The mode is the value that appears most often. If every number appears only once, there is no mode, so the tool shows none. If several values tie for most frequent, it lists up to three of them.
Can I average percentages from tests with different maximum marks?
Not by simply averaging them. 40 out of 50 (80%) and 60 out of 100 (60%) is 100 out of 150, or 66.67%, not 70%. Use weights equal to the maximum marks, like 80:50 60:100, to get the correct combined percentage.
Does it work with decimals and negative numbers?
Yes. You can enter decimals such as 4.75 and negative numbers such as -12, for example temperatures or profit and loss figures. Anything that is not a number is skipped, and results are shown with up to four decimal places.
What does the number line show?
Every value is plotted as a dot between the smallest and largest numbers, with a line for the mean and another for the median. If the two lines are far apart, your data is skewed by a few unusually high or low values.
What does standard deviation tell me?
It measures how spread out the numbers are from the mean. A small standard deviation means most values are close to the average; a large one means they vary a lot. In the sample marks, the population figure is 8.99 around a mean of 81.4.
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