Mean

From WikiMD's medical encyclopedia

Mean is a mathematical term that refers to the average value of a set of numbers. It is calculated by adding all the numbers in the set and then dividing by the number of numbers in the set. The mean is often used in statistics and other forms of mathematical analysis.

Calculation

The mean of a set of numbers is calculated by adding all the numbers in the set together and then dividing by the number of numbers in the set. For example, the mean of the numbers 1, 2, and 3 is calculated as follows:

(1 + 2 + 3) / 3 = 2

This calculation can be represented in the following formula:

Mean = (Sum of all numbers) / (Number of numbers)

Types of Mean

There are several types of mean, including the arithmetic mean, geometric mean, and harmonic mean. Each of these types of mean is calculated differently and used in different contexts.

Arithmetic Mean

The arithmetic mean is the most common type of mean. It is calculated by adding all the numbers in the set and then dividing by the number of numbers in the set.

Geometric Mean

The geometric mean is calculated by multiplying all the numbers in the set together, then taking the nth root of the product, where n is the number of numbers in the set.

Harmonic Mean

The harmonic mean is calculated by dividing the number of numbers in the set by the sum of the reciprocals of the numbers in the set.

Uses

The mean is used in a variety of fields, including statistics, physics, computer science, and economics. It is often used to summarize a set of data, to calculate the center of a distribution, or to compare different sets of data.

See Also

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Wikipedia

Mean

  • Comparison of mean, median, and mode

  • Visualisation of mode, median, and mean

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Contributors: Prab R. Tumpati, MD