### 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

#### Why Use This Content?

See when students have begun their work. Or not.

#### Standards

##### 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.

##### 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.