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The mean, often referred to as the average , is a fundamental concept in statistics used to describe the central tendency of a data set. It is calculated by adding all the values in a data set and dividing the sum by the number of values. To solve different types of problems on average we need to follow the properties of arithmetic mean . Here we will learn about all the properties and proof the arithmetic mean showing the The arithmetic mean or mean is the simplest way to calculate the average for the given set of numbers. It is classified into two different types, namely simple arithmetic mean and weighted arithmetic mean . Arithmetic Mean, commonly known as the average , is a fundamental measure of central tendency in statistics. It is defined as the ratio of all the values or observations to the total number of values or observations.