View Interquartile Range Example Box Plot Photos. The distance between the first and third quartiles of a data set. In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles.

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The box itself stands for the central 50% of the distribution. As seen above, the interquartile range is built upon the calculation of other statistics. An extreme value is considered an outlier if it is at least 1.5 interquartiles ranges below the lower quartile or at least 1.5 interquartile ranges above the upper quartile.

The interquartile range represents the middle 50% of the data.

The middle half of a data set falls within the interquartile range. How to to display quantitative data with boxplots. The interquartile range (iqr) is defined as the distance between the 1st quartile and the 3rd quartile. Example 3 the box plots of the scores in an exam of classes a, b, c and d are shown below.