Average Calculator
Mean, median, mode and range of a list.
- Median
- 15.5
- Mode
- No repeated values
- Range
- 38
- Sum
- 108
- Count
- 6
- Geometric mean
- 13.965497
How this calculator works
The mean adds all values and divides by the count. The median is the middle value after sorting, and the mode is the most frequent value.
Formula
Mean = Σx ÷ n
Example
For 4, 8, 15, 16, 23, 42 the mean is 18 and the median is 15.5.
When to use it
- Grades and test scores
- Summarizing survey answers
- Tracking averages over time
Frequently asked questions
When should I use the median instead of the mean?
Use the median when a few extreme values would distort the mean, such as with house prices or incomes.
What if there is no mode?
If every value appears only once, the data set has no mode. Some data sets have more than one mode.
Learn more
Percentage change vs. percentage difference: which one should you use?
They sound the same and give different answers. Here is when to use percentage change, when to use percentage difference, and why it matters.
How to calculate standard deviation, and what the number is telling you
Two groups can share the same average and look nothing alike. Standard deviation captures the difference. Here is how to calculate and read it.
Mean, median and mode: which "average" tells the truth?
The same numbers can give three very different averages. Here is how to calculate each one and when to trust which.