Mean Median Mode Range Calculator
Mean: Sum of all values divided by the number of values.
Median: The middle value after the numbers are arranged from smallest to largest.
Mode: The value or values occurring most frequently. If every value occurs only once, there is no mode.
Range: Largest value minus smallest value.
Mean Median Mode Range Calculator
Use this Mean Median Mode Range Calculator to quickly find the mean, median, mode, and range of a set of numbers. Enter your numbers manually or upload a CSV file to get instant results.
What Is Mean?
The mean is the average of a set of numbers. It is calculated by adding all the values together and dividing the total by the number of values.
What Is Median?
The median is the middle value in an ordered data set. When there is an even number of values, the median is the average of the two middle values.
What Is Mode?
The mode is the value that occurs most frequently in a data set. A data set can have one mode, more than one mode, or no mode when every value occurs only once.
What Is Range?
The range measures the spread between the smallest and largest values in a data set.
How to Calculate Mean, Median, Mode and Range
- Enter your numbers separated by commas, spaces, semicolons or new lines.
- Alternatively, upload a CSV file containing numerical data.
- Click Calculate.
- The calculator displays the mean, median, mode, range, count and sum.
- The frequency distribution graph shows how often each value occurs when suitable for the data set.
Example
Consider the following data set:
10, 20, 20, 30, 40
The sum is 120 and there are 5 values.
- Mean: 24
- Median: 20
- Mode: 20
- Range: 30
Mean vs Median vs Mode vs Range
| Measure | What It Shows |
|---|---|
| Mean | The arithmetic average of the values |
| Median | The middle value after arranging the data |
| Mode | The most frequently occurring value |
| Range | The difference between the maximum and minimum values |
Frequently Asked Questions
What is the difference between mean and median?
The mean is calculated by dividing the sum of all values by the number of values. The median is the middle value after the numbers have been arranged in order. The mean can be more affected by unusually large or small values than the median.
Can I calculate mode when there are multiple modes?
Yes. If multiple values have the same highest frequency, the data set can have multiple modes. The calculator displays all values that share the highest frequency.
Can I upload a CSV file?
Yes. The calculator accepts CSV files containing numerical values across one or more rows or columns. Empty cells are ignored.
What happens if there is no mode?
If every value occurs only once, there is no mode. The calculator displays No mode in this situation.
How is range calculated?
Range is calculated by subtracting the smallest value from the largest value in the data set.