Need to find the mean, median, or mode of a set of numbers? Our free Mean, Median, Mode Calculator makes it quick and easy. Enter your numbers separated by commas, and the calculator will instantly show the mean, median, and mode. It works with whole numbers and decimals, making it useful for school, statistics, work, and everyday calculations.
Result
How to Use the Mean, Median, Mode Calculator
Using the calculator is simple. Enter your numbers in the box, separating each number with a comma. You can enter whole numbers or decimals.
Click Calculate to see the number of values, sum, mean, median, and mode.
For example, if you enter 10, 20, 20, 30, 40, the calculator will show:
- Mean: 24
- Median: 20
- Mode: 20
What Is the Mean?
The mean is what we commonly call the average. It is calculated by adding all the numbers together and dividing the total by the number of values.
Mean = Sum of all values ÷ Number of values
For example, for 10, 20, and 30:
10 + 20 + 30 = 60
60 ÷ 3 = 20
So, the mean is 20.
What Is the Median?
The median is the middle value when a group of numbers is arranged from smallest to largest.
For example:
5, 10, 15, 20, 25
The middle number is 15, so the median is 15.
When there is an even number of values, the two middle numbers are added together and divided by 2.
For example:
10, 20, 30, 40
The two middle numbers are 20 and 30.
(20 + 30) ÷ 2 = 25
So, the median is 25.
What Is the Mode?
The mode is the number that appears most often in a set of values.
For example:
4, 6, 6, 8, 10
The number 6 appears twice, while the other numbers appear once. Therefore, the mode is 6.
A set of numbers can have more than one mode if two or more values occur the same number of times.
Mean vs. Median vs. Mode
Mean, median, and mode are three different ways to describe a set of numbers.
- Mean: The sum of all values divided by the number of values.
- Median: The middle value after sorting the numbers.
- Mode: The value or values that occur most frequently.
Each measure can describe a data set in a different way.
Mean, Median, and Mode Examples
Example 1
Numbers: 5, 10, 15, 20, 25
- Mean = 15
- Median = 15
- Mode = No mode
Example 2
Numbers: 2, 4, 4, 6, 9
- Mean = 5
- Median = 4
- Mode = 4
Example 3
Numbers: 3, 3, 5, 5, 8
- Mean = 4.8
- Median = 5
- Mode = 3 and 5
When Is the Mean, Median, or Mode Useful?
These measurements are commonly used when working with groups of numbers or data.
For example, you might use them to understand test scores, prices, measurements, survey results, sales figures, or other numerical data.
The mean gives an overall average, the median shows the middle value, and the mode identifies the most frequently occurring value.
Frequently Asked Questions
Can I enter decimal numbers?
Yes. The calculator supports both whole numbers and decimal values.
How many numbers can I enter?
You can enter up to 1,000 numbers in one calculation. Separate each value with a comma.
What happens if there is no mode?
If every number occurs only once, the calculator displays No mode.
Can a data set have more than one mode?
Yes. If two or more numbers occur with the same highest frequency, the calculator displays all of them as the modes.
Is the mean the same as the average?
Yes. In basic mathematics, the arithmetic mean is commonly referred to as the average.
What is the difference between median and mean?
The mean uses every value in the calculation, while the median is based on the middle value after the numbers are arranged in order.
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