What is the mean weekly pay if 5 employees earn 425 per week, 3 earn 750 per week, and 1 earns

step 1 In this question, we have a list of weekly earn of nine employees. Five employees earn 425, 3 ea

What is the mean weekly pay if 5 employees earn 425 per...

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Key Concepts

Arithmetic Mean

The arithmetic mean is a measure of central tendency that is calculated by summing all the values in a data set and then dividing by the number of values. It provides an average representation of the entire data set, making it useful for comparing typical values among different groups.

Weighted Average

A weighted average is used when different data points contribute differently to the overall average. In the context of grouped data, like employee wages, each group’s value is multiplied by the number of occurrences (or frequency) before summing, and then divided by the total number of data points, ensuring that groups with more instances have a proportionally larger impact on the overall mean.

Total and Frequency Calculation

This concept involves multiplying each group’s value by its frequency to determine the total contribution from that group, and then summing these products to get the overall total value. The mean is then calculated by dividing this total by the sum of the frequencies, which represents the total number of data points. This method is crucial when working with grouped data to accurately represent the average.

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