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Of All of the Measures of Variability, the Standard Deviation

question 28

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Of all of the measures of variability, the standard deviation is most susceptible to distortion due to outliers.


Definitions:

Population Parameter

A Population Parameter is a value that represents a characteristic of an entire population, such as its mean or standard deviation.

Sample Statistic

A numerical measure calculated from a set of data extracted from a larger population, used to estimate population parameters.

Population Parameter

A numerical value that represents a characteristic of a population, such as the population mean or variance.

Expected Value

The mean of all possible values for a random variable, weighted by their respective probabilities.

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