Arithmetic Mean Calculator

Calculate the arithmetic mean (simple average) by entering your values.

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Result

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Applications - statistics (average of measurements), daily data (average temperature, steps), quick estimates of typical values.

Decimal numbers - the calculator supports decimal numbers. Use a comma or period as the decimal separator.

Bulk import - paste a list of values separated by spaces into the input field.

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Formula

Arithmetic Mean Formula

The calculation is straightforward:

Mean = (x₁ + x₂ + x₃ + ... + xₙ) / n
Example Calculation
For values 5, 10, and 15: Mean = (5 + 10 + 15) / 3 = 10

Simply add all the values together and divide by how many values there are.

Definition

What is Arithmetic Mean?

The arithmetic mean, commonly known as the average, is the sum of all values divided by the count of values.

The arithmetic mean is the most commonly used measure of central tendency. It provides a single value that represents the 'center' of a dataset by giving equal weight to every data point.

It's best used when all values in your dataset are equally important and there are no extreme outliers that could skew the result. For data with outliers, consider using the median instead.

Examples

When to Use Arithmetic Mean

The arithmetic mean is ideal for these scenarios:

  • Test Scores: When all tests have equal importance, use arithmetic mean to find your average score.
  • Daily Measurements: Average temperature, daily steps, or other equally-weighted daily data points.
  • Quick Estimates: When you need a fast approximation of the 'typical' value in a dataset without complex weighting.
FAQ

Frequently Asked Questions

What is the difference between mean and average?
Mean and average are often used interchangeably. Technically, 'mean' specifically refers to the arithmetic mean, while 'average' can refer to mean, median, or mode.
When should I use arithmetic mean instead of weighted average?
Use arithmetic mean when all values have equal importance. Use weighted average when some values should count more than others.
Can arithmetic mean be a decimal?
Yes, the arithmetic mean is often a decimal number that may not appear in your original dataset.
What happens with negative numbers?
The arithmetic mean formula works the same way with negative numbers. Just add them as you would positive numbers.
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