For Any Symmetrical Distribution,the Standard Deviation Is Equal to the Variance

question 18

True/False

For any symmetrical distribution,the standard deviation is equal to the variance.

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Definitions:

Z-score

A statistical measurement that describes a value's relationship to the mean of a group of values, measured in terms of standard deviations from the mean.

Variability

The extent to which data points in a statistical distribution or data set diverge from the average or mean value.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, central to inferential statistics as it provides a basis for hypothesis testing.

Random Sample

A selection of individuals from a population where each person has an equal chance of being chosen, ensuring the sample’s representativeness of the population.