Statistics › Range, quartiles and spread › Interquartile range and outliers

Outlier percentage in a normal distribution

High school · ●●○○○ 20 pts

In a normal distribution, a value is an outlier if it lies more than 1.51.5 interquartile ranges above the upper quartile or more than 1.51.5 interquartile ranges below the lower quartile. Using z=±0.67z=\pm 0.67 for the quartiles, what percent of values are outliers under this definition? Give the percent rounded to two decimal places.

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normal distributioninterquartile rangeoutliersz-scorestail probability