Mean, Median, Mode Calculator

Data set

Separate the numbers with commas, spaces or new lines.

Show as the main result

Decimal places

Step-by-step working

Add up all the values: 7 + 8 + 10 + 12 + 12 = 49.
Count the values: n = 5.
Divide the sum by n: 49 ÷ 5 = 9.8.

MeanMedianFrequency

Mean (average)

9.8

5 values · sum 49

Count

Sum

Smallest

Largest

All the measures

Mean: 9.8
Median: 10
Mode: 12 (appears 2 times)
Range: 5 (largest 12 minus smallest 7)

Sorted data

7, 8, 10, 12, 12

Check your answer

Values below the median: 2, above it: 2. The median splits the data in half.
The differences from the mean add up to zero, as they should.
Mode check: 12 appears 2 times, and no other value appears more often.

Quick note

The mean is pulled toward very large or very small values. If your data has outliers, check the median as well.

Mean, Median, Mode Calculator - find the mean, median and mode of a list of numbers online on HighCalc

Mean, Median, Mode Calculator: Find the Average of Any List

This free mean, median and mode calculator works out all three averages from a list of numbers in one go. Paste or type your data, and you get the mean, median, mode, range, sum, count, smallest and largest value, the sorted list and a graph. Each result comes with the working so you can follow it, and the calculation is done with exact arithmetic, so decimals do not drift.

Quick answer: for the numbers 10, 12, 7, 8 and 12, the mean is 9.8, the median is 10 and the mode is 12.

What Are the Mean, Median and Mode?

They are three ways to describe the centre of a set of numbers. The mean is the sum divided by the count. The median is the middle value once the numbers are sorted. The mode is the value that appears most often. They often give different answers, as the table shows, and each is useful in a different situation.

Data set	Mean	Median	Mode	Range
10, 12, 7, 8, 12	9.8	10	12	5
2, 4, 4, 4, 5, 5, 7, 9	5	4.5	4	7
1, 2, 2, 3, 3, 4	2.5	2.5	2 and 3	3
5, 6, 7, 8, 100	25.2	7	No mode	95

How to Find the Mean

Add every value and divide by how many values there are. The mean uses all of your data, so it reacts to every change. That is useful for fair averages, such as marks across several tests, but one extreme number can drag it a long way, as in the last row of the table where a single 100 moves the mean from 6.5 to 25.2.

How to Find the Median

Sort the numbers and take the middle one. With an even count, take the average of the two middle numbers. The median ignores how large the extreme values are, which is why it is the usual choice for household income and house prices.

How to Find the Mode

Count how often each value appears and pick the highest count. A list can have one mode, several modes when values tie, or no mode if every value appears once. The mode is also the only one of the three that makes sense for non-numeric answers such as favourite colours or shoe sizes.

Range and Spread

The range is the largest value minus the smallest and shows how spread out the data is. To measure spread more fully, use the standard deviation calculator. For converting between decimals, fractions and percentages in your results, the percentage calculator and the fraction calculator help, and the scientific calculator covers general arithmetic.

Who Uses It?

Students use it for statistics and maths homework, teachers for class results, and analysts, researchers and small business owners for quick summaries of sales, prices, ratings and measurements. If you also want to grade results, try the grade calculator.

How to Use This Mean, Median, Mode Calculator

Enter your numbers

Type or paste them into the box, separated by commas, spaces or new lines.

Pick the main result

Choose Mean, Median or Mode. All three are always shown in the summary.

Set the decimals

Choose how many decimal places you want in the answers.

Read the results

See the answer, the working, a check, the sorted data and a graph.

Features

Instant Results

The answer updates as you type

Exact Arithmetic

No rounding errors with decimals

Up to 5,000 Values

Paste a whole column of numbers

Live Graph

See how often each value occurs

Step-by-Step Working

Follow how each measure is found

Mobile Friendly

Works smoothly on phones, tablets and desktops

Frequently Asked Questions

Common questions about the Mean, Median, Mode Calculator.

How do I calculate the mean?

Add up all the numbers and divide by how many there are. For 10, 12, 7, 8 and 12, the sum is 49 and there are 5 values, so the mean is 49 ÷ 5 = 9.8. The mean is what most people call the average.

How do I find the median?

Sort the numbers from smallest to largest and pick the middle one. For 7, 8, 10, 12, 12 the median is 10. When there is an even number of values, add the two middle values and divide by 2: for 2, 4, 4, 4, 5, 5, 7, 9 the middle pair is 4 and 5, so the median is 4.5.

What is the mode, and can there be more than one?

The mode is the value that appears most often. In 10, 12, 7, 8, 12 it is 12. If two or more values tie for the highest count, the data set has several modes, such as 2 and 3 in 1, 2, 2, 3, 3, 4. If every value appears only once, there is no mode.

When should I use the median instead of the mean?

Use the median when a few very large or very small values would pull the mean away from what is typical, which often happens with incomes, house prices and test results with outliers. The mean uses every value, while the median only cares about the middle.

How do I enter my numbers?

Type or paste them into the box, separated by commas, spaces or new lines. Negative numbers and decimals are fine. You can enter up to 5,000 values, and the calculator tells you if something in the list is not a number.

What else does the calculator show?

Besides the mean, median and mode, it shows the count, sum, smallest and largest value, the range, the sorted list and a graph of how often each value occurs, with lines marking the mean and median. Use the decimal places menu to choose how many decimals appear.