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## What is the Weighted Mean?

The weighted mean is a type of average that takes into account the importance of each value in a set of data. It is calculated by multiplying each value by its weight and then summing these products to get the total. The total is then divided by the sum of the weights to get the weighted mean.

Weighted means are used when the values in a set of data are not all of equal importance. For example, when calculating the average salary of a group of people, it is important to take into account the different levels of experience and seniority. In this case, the more experienced and senior people would have a higher weight than the less experienced and junior people.

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The weighted mean is also used in statistics to calculate the average of a population when the population is not homogeneous. For example, when calculating the average income of a city, it is important to take into account the different levels of income among the different parts of the city. In this case, the wealthier parts of the city would have a higher weight than the poorer parts.

Weighted means can also be used to calculate the average of a set of data when the numbers are not all of equal size. For example, when calculating the average temperature of a city over a period of time, it is important to take into account the different temperatures in different parts of the city. In this case, the temperatures in the hotter parts of the city would have a higher weight than the temperatures in the cooler parts.

The weighted mean is a useful tool for calculating averages when the values in a set of data are not all of equal importance or size. It takes into account the importance or size of each value in the set and gives a more accurate representation of the average.