Average Calculator
The average of 10, 20, and 30 is 20, found by adding them to 60 and dividing by 3. This average calculator returns the mean, median, mode, and range from any list of numbers. Enter your values separated by commas, spaces, or new lines and read the full summary.
Quick answer
The mean is the sum of all values divided by how many values you entered.
What this tells you
- •The mean is the sum of all values divided by how many values you entered.
- •The median is the middle value once the numbers are sorted in order.
- •The mode is the value that appears most often, and a set can have no mode or several.
- •The range is the largest value minus the smallest value.
How to Use
- 1Type or paste your numbers into the input field.
- 2Separate values with commas, spaces, or new lines.
- 3Click Calculate to see the mean, median, mode, and range.
How It Works
Formula
mean = sum of values / count. median = middle value of the sorted list (average of the two middle values when the count is even). mode = the value that appears most frequently.The mean adds every number and divides by the count, so it reflects the overall total. The median sorts the values and takes the center, which resists the pull of very high or very low numbers. The mode is the most common value and answers which result repeats most. Range subtracts the smallest value from the largest to show the spread.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Average of 10, 20, 30
Add the values: 10 + 20 + 30 = 60. Divide by the count of 3 to get a mean of 20. Sorted, the middle value is also 20, so the median is 20. The range is 30 minus 10, which is 20. Every value appears once, so there is no mode.
Average of 4, 8, 8, 15
The sum is 35 and the count is 4, so the mean is 8.75. Sorted as 4, 8, 8, 15, the two middle values are 8 and 8, so the median is 8. The value 8 appears twice, making it the mode.
Mean, Median, Mode, and Range
What each statistic measures and how it is found.
| Term | Definition |
|---|---|
| Mean | The sum of all values divided by the count of values. |
| Median | The middle value of the sorted list, or the average of the two middle values. |
| Mode | The value that appears most often, which may be none or several. |
| Range | The largest value minus the smallest value. |
Common mistakes
- Confusing the mean with the median. The mean is the arithmetic average, while the median is the middle value after sorting, and the two differ when the data is skewed.
- Forgetting to sort before finding the median. The median is only correct once the numbers are arranged from smallest to largest.
- Expecting a mode when every value is unique. If no number repeats, the set has no mode rather than a mode of zero.