Compute the arithmetic mean, median, mode, sum, count, and range for any set of numbers.
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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).
\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).
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.
In everyday language, average usually refers to the arithmetic mean. In statistics, average is an umbrella term that includes mean, median, and 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.
Quickly calculate percentages, find what percentage one number is of another, and compute percent changes.
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Calculated across 5 numbers with total sum of 440.
90
90
25
75 / 100