Arithmetic Mean Calculator
Easily calculate the average of a set of numbers. Enter your values and get the mean instantly.
Separate numbers by commas or spaces.
Result:
Calculation Steps:
Understanding Arithmetic Mean
The arithmetic mean, often simply called the "mean" or "average," is a measure of central tendency that provides a typical value for a dataset. It is calculated by summing all the values in a dataset and dividing by the number of values.
Formula: The formula for the arithmetic mean () where:
- μ (mu) is the arithmetic mean.
- Σx (Sigma x) is the sum of all values in the dataset.
- n is the number of values in the dataset.
Example: To find the arithmetic mean of the numbers 3, 6, 9, and 12:
- Sum the numbers: 3 + 6 + 9 + 12 = 30
- Count the numbers: There are 4 numbers.
- Divide the sum by the count: 30 / 4 = 7.5
The arithmetic mean is widely used in statistics, mathematics, economics, and various other fields to represent the central value of a set of data.