5. Choosing a Data Display
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Which data display shows data as parts of a whole?
Example Answer:
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!
Please note that this is only one possible way to represent the data — there are many other possible ways to do it.