Population mean ( measures the center )
Population Mean = (sum of all values) / (number of values)
The population mean, also known as the average, is a measure of central tendency used to summarize a set of data. It is calculated by adding up all the values in a population and then dividing by the number of values.
The formula for calculating the population mean is:
Population Mean = (sum of all values) / (number of values)
For example, if we have a population of 10 people and we want to find the average age, we would add up the ages of all 10 individuals and then divide by 10.
Let’s say the ages of the 10 people are: 20, 25, 30, 35, 40, 45, 50, 55, 60, 65.
The sum of all values is: 20 + 25 + 30 + 35 + 40 + 45 + 50 + 55 + 60 + 65 = 405
The number of values is: 10
Therefore, the population mean is: 405 / 10 = 40.5
In this example, the population mean age is 40.5 years. The population mean is a useful tool for summarizing data and understanding the central tendency of a population.
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