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How do you find the range in box plots?

Last updated date: 14th Jun 2024
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Hint: We explain the concept of boxplots. Then we process the data representation in quartile format. We express the difference between range and the interquartile range.

Complete step by step solution:
A boxplot, sometimes called a box and whisker plot, is a type of graph used to display patterns of quantitative data.
A boxplot splits the data set into quartiles. The body of the box plot consists of a "box" (hence, the name), which goes from the first quartile (Q1) to the third quartile (Q3).
Within the box, a vertical line is drawn at the Q2, the median of the data set. Two horizontal lines, called whiskers, extend from the front and back of the box. The front whisker goes from Q1 to the smallest non-outlier in the data set, and the back whisker goes from Q3 to the largest non-outlier.
Range is represented on a boxplot by the horizontal distance between the smallest value and the largest value, including any outliers. If you ignore outliers, the range is illustrated by the distance between the opposite ends of the whiskers.

We need to remember that it can be represented as both the difference of upper and lower quartile and the difference of two values of lowest and highest. In a box plot, the interquartile range is represented by the width of the box (difference of Q3 and Q1).