Creating Box-and-Whisker Plots


If you were asked to create a visual representation of the mean, upper and lower 25% (quartiles), and maximum and minimum (extremes) scores on the final test in your College Algebra class, how would you go about it? Would a box-and-whisker plot be appropriate? Why or why not? What would the plot look like if the mean was 82%, the lowest score was 59%, highest was 96%, and if a quarter of the class scored above 86% while another quarter scored below 70%?Box-and-whisker plots (or box plots) are ideal for visually representing the five number summary of data.First, organize the data by increasing value, then

Grades 6 through 7 Material from CK-12

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Standards

HSS.ID.A.1

6.SP.A.2

Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.

6.SP.B.4

Display numerical data in plots on a number line, including dot plots, histograms, and box plots.

7.SP.B.4

Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations.

HSS.CP.A.4

7.SP.B.3

Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.