Average Calculator
Compute the arithmetic mean, median, mode, sum, count, and range for any set of numbers.
Calculated across 5 numbers with total sum of 440.
90
90
25
75 / 100
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What Is a Average Calculator?
An average calculator computes the central tendency of a data collection. It calculates the arithmetic mean (sum divided by count), the median (the midpoint value), the mode (the most frequent value), and the range (dispersion between maximum and minimum).
How to Use This Calculator
- Enter your numbers separated by commas, spaces, or line breaks into the input box.
- View the calculated mean, median, mode, minimum, maximum, range, and overall sum in real-time.
- Click Reset to clear your inputs or Copy to save the computed statistical summary.
Arithmetic Mean Formula
\bar{x} = \frac{1}{n}\sum_{i=1}^{n} x_i = \frac{x_1 + x_2 + \dots + x_n}{n}Sum all numbers in the dataset and divide the resulting sum by the total quantity of numbers (n).
Worked Example
Scenario: Find the average and median of student quiz scores: 85, 90, 75, 90, 100.
Sum the scores: 85 + 90 + 75 + 90 + 100 = 440.
Count items: n = 5.
Mean: 440 / 5 = 88.
Sort dataset for median: 75, 85, 90, 90, 100. The middle value is 90.
Mode: 90 appears twice.
Tips & Key Notes
- Use the median instead of the mean when your dataset contains extreme outliers (such as income or housing prices).
- If an even number of values exists, the median is calculated by averaging the two middle numbers.
Frequently Asked Questions
What is the difference between mean and average?
In everyday language, average usually refers to the arithmetic mean. In statistics, average is an umbrella term that includes mean, median, and mode.
Can a dataset have more than one mode?
Yes. A dataset with two modes is bimodal, with three is trimodal, and with many is multimodal. If all values appear with equal frequency, there is no mode.
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