Average Calculator
Find the mean, median, mode, range, sum and count of a list of values.
Result
Arithmetic mean: 5
Mean, median and mode can describe the same list differently.
- Median
- 3
- Mode
- 3
- Range
- 8
- Sum
- 25
- Number of values
- 5
https://calcgallery.com/everyday-math/average-calculator/
Results follow the mathematical operation and values shown. Check that you selected the intended operation, convention and dataset type before relying on the result. Read the full disclaimer
How to use the Average Calculator
- Enter one observation per row; labels are optional.
- Add or remove rows until the list matches the dataset.
- Compare mean, median, mode and range rather than assuming one average tells the whole story.
Several meanings of average
The arithmetic mean is only one measure of the center:
mean = sum of values ÷ countrange = maximum − minimumThe median comes from the sorted middle, and the mode comes from frequency. They can disagree without any of them being incorrect. A skewed dataset or an extreme outlier often makes the median more representative than the mean.
With your numbers
- Mean = sum ÷ count = 25 ÷ 5 = 5.
- Median = 3; mode = 3; range = 8.
Quick reference
Mean, median and mode can describe the same list differently.
| Example | Arithmetic mean |
|---|---|
| Five values with one mode | 5 |
| Simple sequence | 3 |
| Even number of values | 25 |
| Two modes | 1.8 |
| Decimals | 2.5 |
| Negative and positive | 0 |
Common questions about the Average Calculator
- What is the arithmetic mean?
- It is the sum of all values divided by the number of values.
- How is the median found?
- Sort the values and take the middle one, or average the two middle values when the count is even.
- Can there be more than one mode?
- Yes. Every value tied for the highest frequency is reported. If every value occurs once, the calculator says No mode.
- Which average should I use?
- The mean reflects every value but is pulled by extremes. The median is more resistant to outliers, while the mode reports the most frequent value.