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Arithmetic mean is a type of an average. The arithmetic mean of a set of a data is calculated by adding all the observations of a data and divided it by total numbers of observations.
Arithmetic mean = sum of all observations/ number of observations
If an arithmetic mean is calculated for a population, it is known as population mean. If arithmetic mean is calculated for a sample, then it is called sample mean. A sample mean shows the common results of a target population. The population mean is represented by a Greek letter 'Meu'. The sample mean is represented by 'x bar'. According to the properties of distribution of sample mean, the arithmetic mean of a sample mean is equal to the population mean.
Arithmetic mean = sum of all observations/ number of observations
If an arithmetic mean is calculated for a population, it is known as population mean. If arithmetic mean is calculated for a sample, then it is called sample mean. A sample mean shows the common results of a target population. The population mean is represented by a Greek letter 'Meu'. The sample mean is represented by 'x bar'. According to the properties of distribution of sample mean, the arithmetic mean of a sample mean is equal to the population mean.
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