Which one of the following is referred to as the population mean?
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A. B. C. D. E.C
The normal symbol for the population mean is the Greek letter "Mu."
The correct answer is C. The Greek letter "Mu."
In statistics, when we talk about a population, we are referring to the entire set of individuals, objects, or observations that we are interested in studying. The population mean, denoted by the Greek letter "Mu" (µ), represents the average value of a variable in the entire population.
Here's an explanation of the other options:
A. Sample: A sample is a subset of the population that is used to gather information and make inferences about the population. The sample mean is denoted by "x-bar" (x̄), which represents the average value of a variable in the sample. The sample mean is an estimate of the population mean.
B. X-Bar: As mentioned above, x-bar (x̄) represents the sample mean, not the population mean. It is the average value of a variable in a sample.
C. The Greek letter "Mu": This is the correct answer. The Greek letter "Mu" (µ) represents the population mean, which is the average value of a variable in the entire population.
D. Statistic: A statistic is a numerical value calculated from a sample. It provides information about a sample but is not necessarily representative of the entire population. The sample mean (x̄) is an example of a statistic.
E. None of these answers: This option is not correct because the population mean is indeed represented by the Greek letter "Mu" (µ).
In summary, the population mean is represented by the Greek letter "Mu" (µ). It signifies the average value of a variable in the entire population, as opposed to the sample mean (x̄), which represents the average value in a sample.