Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
5. Choosing a Data Display
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Exercise 20 Page 622

Which data display shows data as parts of a whole?

Example Answer:

The pie chart titled Colors of Cars Passing Your House shows the distribution of car colors. It shows numbers for each category consisting of 25 white, 12 red, 1 yellow, 21 black, 27 silver/grey, 6 blue, and 5 brown/beige cars.
Practice makes perfect

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^(∘). Let's first find the total number of cars.

25+12+1+21+3+27+6+5 = 100Cars We can now find the angle measures.

Subject Angle Measure Simplify
White 25/100*360^(∘) 90^(∘)
Red 12/100*360^(∘) 43.2^(∘)
Yellow 1/100*360^(∘) 3.6^(∘)
Black 21/100*360^(∘) 75.6^(∘)
Green 3/100*360^(∘) 10.8^(∘)
Silver/Gray 27/100*360^(∘) 97.2^(∘)
Blue 6/100*360^(∘) 21.6^(∘)
Brown/Biege 5/100*360^(∘) 18^(∘)

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!

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

Showing Our Work

Data Display We Used Previously

Since a bar graph allows us to show data in different categories, we used it previously to display the given data set.

bar graph