Mean Calculator

Calculate Mean (Average)

Enter a set of numbers separated by commas to find the mean (average).

Please enter a valid set of numbers.

How to Calculate Mean

The mean, often referred to as the average, is a measure of central tendency in a dataset. It provides a single value that represents the typical or central value of a set of numbers.

Formula

The formula for calculating the mean is:

\[ \text{Mean} = \frac{\sum_{i=1}^{n} x_i}{n} \]

Where:

  • \(x_i\) represents each value in the dataset
  • \(n\) is the number of values in the dataset

Calculation Steps

  1. Sum up all the values in the dataset
  2. Count the number of values in the dataset
  3. Divide the sum by the count

Example

Let's calculate the mean for the dataset: 4, 7, 9, 3, 2

  1. Sum the values: 4 + 7 + 9 + 3 + 2 = 25
  2. Count the values: There are 5 numbers
  3. Divide the sum by the count: 25 ÷ 5 = 5

Therefore, the mean of the dataset is 5.

Visual Representation

Mean Visualization Data Points Value Mean

This diagram illustrates the mean for the example dataset. The green line represents the mean, and the blue dots are the individual data points.