Math Tools
Mean, Median, Mode, Range Calculator
Find mean, median, mode, range, minimum, and maximum for any list of numbers.
Mean, Median, Mode, Range Calculator
Calculate mean, median, mode, range, minimum, and maximum for a list of numbers.
Example: 1, 2, 2, 3, 4, 6
Results
Count
6
Mean
3
Median
2.5
Mode
2
Range
5
Minimum
1
Maximum
6
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What these values mean
Mean is the average, median is the middle value, mode is the most frequent value, and range is the difference between the maximum and minimum values.
What is a mean median mode range calculator?
A mean median mode range calculator is a descriptive statistics tool that helps you summarize a list of numbers quickly. Instead of calculating each value by hand, you can enter your data and instantly get the mean, median, mode, range, minimum, and maximum.
This is useful in math classes, statistics homework, spreadsheets, business analysis, surveys, test scores, sports data, and any other situation where you need a quick summary of a data set.
Mean, median, mode, and range formulas explained
Mean formula
Mean = sum of all values ÷ number of values
Median formula
Median = middle value after sorting the numbers
Mode formula
Mode = value or values that appear most often
Range formula
Range = maximum value − minimum value
Sorted data table and quick statistics view
This table helps you see the ordered values and understand how the calculator reads your number list.
| Statistic | Value |
|---|---|
| Sorted values | 1, 2, 2, 3, 4, 6 |
| Count | 6 |
| Mean | 3 |
| Median | 2.5 |
| Mode | 2 |
| Range | 5 |
| Minimum | 1 |
| Maximum | 6 |
Examples of mean, median, mode, and range
These worked examples show how descriptive statistics change from one data set to another.
| Data set | Mean | Median | Mode | Range |
|---|---|---|---|---|
| 1, 2, 2, 3, 4, 6 | 3 | 2.5 | 2 | 5 |
| 5, 5, 7, 8, 9 | 6.8 | 7 | 5 | 4 |
| 10, 12, 14, 16, 18 | 14 | 14 | No mode | 8 |
How to calculate mean, median, mode, and range step by step
First, write your numbers as a list. Then sort them from smallest to largest. To find the mean, add every value and divide by the total count. To find the median, identify the middle value in the ordered list, or average the two middle values if there is an even number of data points.
To find the mode, look for the value that appears most often. To find the range, subtract the smallest value from the largest one. These values help describe the center and spread of a data set.
When to use mean vs median vs mode vs range
The mean is useful when you want the average of all values. The median is often better when the data contains outliers because it focuses on the middle value. The mode is useful when you want to know the most common value in a list, while the range shows how spread out the numbers are.
In practice, these statistics are often used together. For example, teachers may review test score averages, businesses may analyze sales data, and researchers may summarize survey responses.
Where a descriptive statistics calculator is useful
A descriptive statistics calculator is useful for school, college, exam prep, data science basics, spreadsheet work, finance reports, and general data analysis. It helps you understand a group of values without inspecting each number one by one.
It is especially helpful when working with grades, test scores, survey answers, repeated measurements, prices, or business performance data where summary statistics provide quick insight.
Mean, median, mode, and range FAQ for common statistics questions
How do you find the mean of a list of numbers?
Add all the numbers together and divide by how many numbers are in the list.
How do you find the median in an even-numbered list?
Sort the values and take the average of the two middle numbers.
Can a data set have more than one mode?
Yes. If two or more values appear with the same highest frequency, the list can have multiple modes.
What does it mean if there is no mode?
It means no value appears more often than the others, so there is no most frequent number.
How do you calculate the range?
Subtract the minimum value from the maximum value in the data set.
What is the difference between mean and median?
Mean is the average of all values, while median is the middle value after sorting the data.
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