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Q. 33

Expert-verifiedFound in: Page 386

Book edition
OER 2018

Author(s)
Barbara Illowsky, Susan Dean

Pages
902 pages

ISBN
9781938168208

About what percent of $x$ values lie between the second and third standard deviations (both sides)?

Approximately $4.7\%$ of $x$ values lies between the second and third standard deviation

The empirical rule additionally alluded to as the three-sigma rule or 68-95-99.7 rule, is a factual decision that expresses that for a normal distribution, practically totally noticed information will fall inside three standard deviations of the mean or normal .

The Empirical Rule expresses that $99.7\%$of information noticed observing an normal distribution exists in $3$ standard deviations of the mean. Under this standard, $68\%$ of the information falls inside one standard deviation, $95\%$percent inside two standard deviations, and $99.7\%$ inside three standard deviations from the mean.

Therefore, the percentage of $x$ values from normal distribution lie between second and third standard deviation will be:

$=99.7\%-95\%$

localid="1648289831679" $=4.7\%$

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