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Shamika Martin
on Nov 21, 2024

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​The percentage of data values that must be within one, two, and three standard deviations of the mean for data having a bell-shaped distribution can be determined using

A) ​Chebyshev's theorem.
B) The empirical rule.
C) ​A five-number summary.
D) ​Percentiles.

Chebyshev's Theorem

A statistical theorem stating that for any real dataset, the proportion of values that fall within k standard deviations from the mean is at least 1-1/k^2 for k > 1.

Empirical Rule

A statistical principle that asserts in a normal distribution, almost all of the data is contained within three standard deviations from the mean.

Standard Deviations

Standard deviations are a measure of the amount of variation or dispersion in a set of values, indicating how much the values in a dataset deviate from the mean on average.

  • Distinguish among diverse variability metrics and comprehend their uses.
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Lachy GreigNov 22, 2024
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