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Average Calculator

Calculate the average (arithmetic mean), median, mode, range, and sum for any set of numbers with instant step-by-step breakdown.

Supports commas, spaces, tabs, and newlines. Non-numeric text is safely ignored.
Arithmetic Mean (Average)
30
Sum of 150 divided by 5 numbers
30Median (Middle)
NoneMode (Most Frequent)
40Range (Max - Min)
150Total Sum (∑)
5Count (n)
10 / 50Min / Max
Step-by-Step Calculation
Mean = (10 + 20 + 30 + 40 + 50) / 5 = 150 / 5 = 30
Sorted Numbers: [10, 20, 30, 40, 50]

How to Use the Average Calculator

Enter your dataset separated by commas, spaces, or newlines. The calculator parses all numbers, computes the arithmetic mean, median, mode, range, and sum, and presents clean statistical metrics.

Formula & Calculation Method

Mean = Sum(x) / Count(n) | Range = Max - Min

The mean adds all numbers and divides by the total count. The median is the center value of the sorted list, and the mode is the most frequently occurring number.

Calculation Examples

Basic Number Sequence

Input:10, 20, 30, 40, 50
Result:Mean: 30, Median: 30, Range: 40, Sum: 150

Sum = 150, Count = 5 -> 150 / 5 = 30

Bimodal Dataset

Input:4, 1, 2, 4, 3, 2
Result:Mean: 2.67, Median: 2.5, Modes: 2, 4

Both 2 and 4 appear twice

Frequently Asked Questions

How does the calculator handle datasets with multiple modes?

If two or more numbers tie for the highest frequency, all tying numbers are displayed as modes (multimodal distribution). If all numbers appear with equal frequency, no mode is displayed.

Can I separate numbers with spaces or newlines instead of commas?

Yes. The input parser accepts commas, spaces, tabs, semicolons, and line breaks, making it easy to paste columns directly from spreadsheets.