Exercise 20 Page 368

Consider the given data set.

Colors of Cars That Drive by Your House
White	$25$	Green	$3$
Red	$12$	Silver/Gray	$27$
Yellow	$1$	Blue	$6$
Black	$21$	Brown/Biege	$5$

Since we have qualitative data, a different way to display the data is with a circle graph. To do so, we need to find the angle measure for each section of the circle graph by multiplying the fraction of cars of each color by $360^{\circ }.$ Let's first find the total number of cars. We can now find the angle measures.

Subject	Angle Measure	Simplify
White	$\frac{25}{100}\cdot 360^{\circ }$	$90^{\circ }$
Red	$\frac{12}{100}\cdot 360^{\circ }$	$43.2^{\circ }$
Yellow	$\frac{1}{100}\cdot 360^{\circ }$	$3.6^{\circ }$
Black	$\frac{21}{100}\cdot 360^{\circ }$	$75.6^{\circ }$
Green	$\frac{3}{100}\cdot 360^{\circ }$	$10.8^{\circ }$
Silver/Gray	$\frac{27}{100}\cdot 360^{\circ }$	$97.2^{\circ }$
Blue	$\frac{6}{100}\cdot 360^{\circ }$	$21.6^{\circ }$
Brown/Biege	$\frac{5}{100}\cdot 360^{\circ }$	$18^{\circ }$

These angle measures allow us to divide a circle into four sections with their corresponding sizes. Then we can label each section and title the circle graph. Let's do it!

Please note that this is only one possible way to represent the data — there are many other possible ways to do it.