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Which of the Following Statements Is True

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Which of the following statements is true?


Definitions:

Percentile

A value below which a certain percent of observations fall, used as a measure to understand the distribution of data in a dataset.

Tchebysheff's Theorem

A theorem stating that for any set of data, the proportion of results within k standard deviations from the mean is at least 1-(1/k^2) for k>1.

Tchebysheff's Theorem

A statistical theorem stating that for any distribution, the proportion of outcomes within k standard deviations from the mean is at least \(1-\frac{1}{k^2}\) for k > 1.

Empirical Rule

A statistical norm indicating that in a normal distribution, the vast majority of data points lie within a range of three standard deviations from the mean.

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