#quantitative-methods-basic-concepts #statistics
The population mean and sample mean are both examples of the arithmetic mean.
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Open itArithmetic Mean
The arithmetic mean is what is commonly called the average. The population mean and sample mean are both examples of the arithmetic mean.
If the data set encompasses an entire population, the arithmetic mean is called a population mean. If the data set includes a sample of values taken from a population, the arithmetic meaOriginal toplevel document
Subject 4. Measures of Center Tendency;
The sample mean is the average for a sample. It is a statistic and is used to estimate the population mean.
where n = the number of observations in the sample
<span>Arithmetic Mean
The arithmetic mean is what is commonly called the average. The population mean and sample mean are both examples of the arithmetic mean.
If the data set encompasses an entire population, the arithmetic mean is called a population mean. If the data set includes a sample of values taken from a population, the arithmetic mean is called a sample mean.
This is the most widely used measure of central tendency. When the word "mean" is used without a modifier, it can be assumed to refer to the arithmetic mean. The mean is the sum of all scores divided by the number of scores. It is used to measure the prospective (expected future) performance (return) of an investment over a number of periods.
All interval and ratio data sets (e.g., incomes, ages, rates of return) have an arithmetic mean. All data values are considered and included in the arithmetic mean computation. A data set has only one arithmetic mean. This indicates that the mean is unique. The arithmetic mean is the only measure of central tendency where the sum of the deviations of each value from the mean is always zero. Deviation from the arithmetic mean is the distance between the mean and an observation in the data set.
The arithmetic mean has the following disadvantages:
The mean can be affected by extremes, that is, unusually large or small values. The mean cannot be determined for an open-ended data set (i.e., n is unknown).
Geometric Mean
The geometric mean has three important properties:
It exists only if all the observations are greSummary
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