Calculate mean, median, mode, range, sum, and count for any set of numbers. Paste a list, get instant statistics. Free, mobile-friendly, no signup required.
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Statistics and averages are fundamental tools in mathematics, science, business, and everyday decision-making. Whether you're analyzing exam scores, comparing sales figures, tracking temperatures, or doing homework, knowing how to calculate mean, median, mode, and range is essential. Our free average calculator handles all of this instantly for any list of numbers you provide.
The mean, commonly called the average, is the most widely used measure in statistics. It is calculated by adding all the numbers together and dividing by how many numbers there are.
Example: Find the mean of 5, 10, 15, 20, 25.
Sum = 5+10+15+20+25 = 75
Count = 5
Mean = 75 ÷ 5 = 15
The mean is useful for normally distributed data without extreme outliers. If one value is very large or very small, it can pull the mean away from what's typical for most values — which is where the median becomes more useful.
The median is the middle value when all numbers are arranged in order from smallest to largest. If there is an even count of numbers, the median is the average of the two middle values.
Example: Find the median of 3, 7, 9, 12, 18.
Sorted: 3, 7, 9, 12, 18 → Median = 9
Example with even count: 4, 8, 10, 14 → Middle values are 8 and 10 → Median = (8+10) ÷ 2 = 9
The median is especially useful for income and housing data, because a few very high earners or expensive properties can distort the mean. The median gives a better picture of what is "typical."
The mode is the value that appears most frequently in a data set. A data set can have one mode (unimodal), two modes (bimodal), or more. If no value repeats, there is no mode.
Example: 2, 3, 3, 5, 7, 7, 7, 9 → Mode = 7 (appears 3 times)
The mode is useful in market research, survey analysis, and quality control to identify the most common outcome in a data set.
The range measures the spread of a data set. It is simply the difference between the maximum and minimum values.
Example: Data set: 10, 25, 7, 42, 18 → Max = 42, Min = 7 → Range = 42 − 7 = 35
A high range means the data is spread widely. A low range means the values are clustered closely together. Range is a simple but useful first measure of variability in a data set.
All three — mean, median, and mode — are called "measures of central tendency." They each describe the "center" of a data set in a different way:
In a perfectly symmetric data set, mean = median = mode. When data is skewed, these values diverge and choosing the right measure becomes important for accurate analysis.
Using our calculator is simple. Paste or type your numbers into the input box. Numbers can be separated by commas, spaces, or line breaks — the calculator handles all formats automatically. Click "Calculate Statistics" and instantly see the mean, median, mode, range, sum, minimum, and maximum values. The sorted list is also displayed so you can verify the data at a glance.
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