Grades
Grade average with one repeated value.
70; 85; 85; 90; 100
Math
Mean, median and mode calculator
Enter a list of numbers and review the mean, median, mode, range and frequencies with a clear explanation of each result.
Data
Separate with line breaks, semicolons or spaces. For comma decimals, use semicolons: 1,5; 2,5; 3,75.
0/10000
Accepted formats
1 2 3 4
1; 2; 3; 4
1, 2, 3, 4
1,5; 2,5; 3,75
Do not use thousands separators: enter 1500, not 1,500.
Examples
Sorted data
There is no sorted data yet.
Frequency table
| Value | Frequency | Percentage |
|---|---|---|
| The table will appear with a valid list. | ||
How it was calculated
Mean
-
Median
-
Mode
-
Range
-
Publicidad
Worked examples
Use these examples to see how the measures change with the data.
Decimal measurements
Comma decimals separated by semicolons.
1,5; 1,7; 1,7; 2,1
No mode
Every value appears once.
2; 4; 6; 8
Multimodal
Two values tie as the most frequent.
1; 1; 2; 2; 3
What each measure means
These measures summarize the list from different perspectives.
Mean
The arithmetic average: the sum of values divided by the number of values.
Median
It is the center of the sorted list. If there are two middle values, they are averaged.
Mode
It is the most frequent value. A list may have no mode or several modes.
Range
The difference between the maximum and minimum. It shows how far apart the extremes are.
Next step
If you need variance, standard deviation, quartiles or outliers, those measures belong to a more advanced analysis of dispersion. This calculator focuses on a basic summary and frequencies.
Frequently asked questions
How do you calculate the mean?
Add all values and divide by the number of data points. For example, if the sum is 83 and there are 5 values, the mean is 83 / 5 = 16.6.
How do you calculate the median?
Sort the data from lowest to highest. With an odd count, take the middle value. With an even count, average the two middle values.
How do you calculate the mode?
Count how often each value appears. The mode is the most frequent value. If every value appears once, the list has no mode.
What happens if there are two modes?
A list can be multimodal. The calculator shows every value tied for the highest frequency when that frequency is greater than 1.
Can a list have no mode?
If no value repeats, there is no mode. In a one-value list, that value is shown as the mode because it is the only and most frequent value.
What is the difference between mean and median?
The mean uses every value and can change substantially with outliers. The median looks at the center of the sorted list and is usually more resistant to extremes.
How do you calculate the range?
Subtract the minimum from the maximum. If the maximum is 20 and the minimum is 12, the range is 8.
Can I use decimal or negative numbers?
Yes. You can use a decimal point or comma. When using comma decimals, separate values with semicolons, for example: 1,5; 2,5; 3,75.