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How to Calculate Averages
Averages are fundamental to statistics, science, finance, and everyday life. Whether you are calculating exam scores, analysing survey results, or tracking fitness data, understanding the mean, median, and mode helps you summarise and interpret your numbers quickly.
How to Use This Calculator
- Enter your numbers in the text area. Separate them with commas, spaces, or new lines — any combination works.
- View the results in the statistics grid below. You will see the mean, median, mode, range, sum, count, minimum, and maximum.
- Check the sorted list at the bottom to see your numbers arranged from smallest to largest.
- Copy the results using the Copy button to paste them into a spreadsheet or document.
How It Works
The calculator parses your input by splitting on commas, spaces, and newlines, then filters out any non-numeric entries. The mean is calculated by summing all values and dividing by the count. The median sorts the values and picks the middle one, or averages the two middle values for an even count. The mode counts how often each value appears and returns the most frequent one. Range is simply the maximum minus the minimum. All statistics are computed locally in your browser and update in real time as you type.
Frequently Asked Questions
What is the difference between mean, median, and mode?
The mean is the arithmetic average (sum divided by count). The median is the middle value when numbers are sorted. The mode is the most frequently occurring value. Each measure gives a different perspective on the central tendency of your data.
How do I calculate the mean?
Add all the numbers together and divide by how many numbers there are. For example, the mean of 2, 4, 6 is (2 + 4 + 6) / 3 = 4. The mean is the most commonly used average in statistics.
How do I find the median?
Sort the numbers from smallest to largest, then find the middle value. If there is an even number of values, the median is the average of the two middle values. For example, the median of 1, 3, 5, 7 is (3 + 5) / 2 = 4.
What if there are multiple modes?
A data set can have more than one mode if multiple values share the highest frequency. For example, in 1, 2, 2, 3, 3, both 2 and 3 are modes (bimodal). If no value repeats, the data set has no mode.
What is the range of a data set?
The range is the difference between the largest and smallest values. For example, if your data set is 3, 7, 15, 22, the range is 22 minus 3, which equals 19. Range gives a simple measure of data spread.
Can I enter negative numbers?
Yes, the calculator accepts negative numbers, decimals, and zero. Separate your numbers with commas, spaces, or new lines. The calculator will correctly compute all statistics including negative values.
