Average Calculator
Calculate the mean, median, and mode of any set of numbers. Enter values separated by commas and get a full statistical summary instantly.
How to Use This Calculator
- Enter your numbers — Type or paste a list of numbers separated by commas, spaces, or new lines
- Click Calculate — Instantly see the mean (average), median, mode, range, sum, and count
- Bookmark or share — Your numbers are saved in the URL for easy sharing
Enter Numbers
📐 Mean vs. Median vs. Mode — When to Use Each
- Mean (average): Best for symmetric data without extreme outliers — e.g. averaging test scores or temperatures.
- Median: Best when data has outliers or is skewed — e.g. household incomes, home prices. The median is not pulled by extreme values.
- Mode: Best for categorical or discrete data — e.g. the most common shoe size sold, most frequent survey response.
- Range: A simple spread measure — subtract the smallest value from the largest. Large range = more variability.
🧮 Quick Formula Reference
Sum ÷ Count
Middle value (sorted list)
Most frequently occurring value
Max − Min
For an even count of numbers, the median is the mean of the two middle values. If all values occur equally, there is no mode.
📊 Real-World Examples
- GPA: Average your weighted grade points to get a GPA — use the mean.
- Salary data: A company median salary removes the distortion of a CEO's pay — use the median.
- Survey results: "Most common rating" on a 1–5 scale — use the mode.
- Weather: Average daily temperature over a month — use the mean.
- Sports stats: A player's average points per game — mean; most common score — mode.
Frequently Asked Questions
What is the difference between mean, median, and mode?
The mean (average) is the sum of all values divided by the count. The median is the middle value when numbers are sorted — it is less affected by outliers. The mode is the value that appears most often. For example, in [1, 2, 2, 3, 100]: mean = 21.6, median = 2, mode = 2. Use mean for symmetric data, median when outliers exist, mode for most-common-value questions.
How do I calculate the average of a set of numbers?
Add all the numbers together, then divide by how many numbers there are. Formula: Mean = Sum ÷ Count. Example: the average of 10, 20, and 30 is (10 + 20 + 30) ÷ 3 = 60 ÷ 3 = 20.
What if my data set has no mode?
If every number in the set appears exactly once (no repeats), there is no mode. This is normal — not every data set has a mode. Some data sets are bimodal (two modes) or multimodal (more than two), which means multiple values tie for the highest frequency.
How is the median calculated when there is an even number of values?
When the count is even, sort the values and average the two middle ones. Example: for [3, 7, 9, 13], the two middle values are 7 and 9, so the median is (7 + 9) ÷ 2 = 8. This guarantees the median is always between the two center values.
Why is median salary used instead of average salary?
Salary data is right-skewed — a small number of very high earners pull the mean upward. For example, if 9 workers earn $50,000 and 1 earns $500,000, the mean is $95,000 but the median is $50,000. The median better represents what a typical worker earns.
Can I calculate the average of negative numbers?
Yes. The mean formula works the same for negative numbers. Example: the average of -10, -5, 0, 5, 10 is (-10 + -5 + 0 + 5 + 10) ÷ 5 = 0 ÷ 5 = 0. This calculator fully supports negative values and decimals.