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Arithmetic Mean

The arithmetic mean, also known as the average, is a mathematical concept used to calculate the sum of a set of numerical values divided by the number of values in the set. It provides a measure of central tendency and is commonly used to represent the typical value within a dataset.

Senses/Usages:

1. Mathematical Definition:

In mathematics, the arithmetic mean refers to the sum of a set of numbers divided by the count of those numbers. It is calculated by adding all the values and then dividing the sum by the total count.

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Example Sentence:

The arithmetic mean of the numbers 2, 4, and 6 is (2 + 4 + 6) / 3 = 4.

2. Statistical Definition:

In statistics, the arithmetic mean is used to summarize a dataset by calculating the average value. It provides valuable insights into the overall trend and dispersion of the data.

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Example Sentence:

The arithmetic mean of the salaries of all employees in the company accurately represents the average income of the workforce.

3. Educational Applications:

Arithmetic mean is a fundamental concept taught in mathematics education to introduce students to the basic principles of average calculation. It forms a basis for further statistical analysis and problem-solving techniques.

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Example Sentence:

The teacher explained how to find the arithmetic mean of a set of numbers using a step-by-step approach.