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Average Calculator

Real-time Engine

Calculate the arithmetic mean, median, mode, sum, count, and range of any data set instantly. Accurate, dependable, and runs directly in your browser.

Delimiter auto-detect

Separate items using commas, whitespace, line breaks, or tabs.

7 items parsed
Commas, spaces, newlines accepted
Primary OutputIEEE-754 Verified

Arithmetic Mean (Average)

56.00

Sum of 7 numbers divided by total observations.

Comprehensive Distribution

Total Sum (Σx)392.00
Count (n)7
Median56.00
ModeNone
Spread / Range84.00Min: 14 | Max: 98
Std Deviation (σ)28.00Sample size n=7
Data Spread RepresentationAscending Normalized
Step-by-Step Proof

Detailed Step-by-Step Solution

Deterministic Calculation
1Sum the Values

Aggregate every individual value in your input set into a single combined sum.

14 + 28 + 42 + 56 + 70 + 84 + 98 = 392
2Count Observations

Determine the exact number of valid numeric elements in the data set.

n = 7 values
3Divide Sum by Count

Divide total aggregate sum (Σx) by total count of elements (n).

392 ÷ 7 = 56.00
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How to use this calculator

Add every value, then divide the total by the number of values. This calculator also sorts the values to find the median, minimum, maximum, and range.

Formula

Average = Sum of values ÷ Number of values

Example

For 10, 20, 30, and 40, the sum is 100 and the count is 4. The average is 100 ÷ 4 = 25.

Frequently asked questions

What is the difference between mean and median?

The mean is the sum divided by the count. The median is the middle value after sorting the numbers.

Can I enter decimal or negative values?

Yes. Separate values with commas, spaces, or semicolons.

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