5. Choosing a Data Display
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A double histogram can help us to compare the distribution of the data sets.
Example Answer:
Consider the given data sets.
| Ages of World Cup Winners | |
|---|---|
| 2010 Men's World Cup Winner (Spain) | 2011 Women's World Cup Winner (Japan) |
| 29 24 23 30 32 26 | 36 27 24 20 27 23 |
| 28 30 26 23 32 28 | 29 26 25 32 27 27 |
| 22 28 24 21 27 22 | 22 25 24 23 24 28 |
| 25 21 24 24 27 | 20 18 24 |
We will analyze the data and then create a display that best represents the data that is different from what we did previously. A double histogram is one appropriate way to display this quantitative data since it allows us to compare the distributions of the data sets. To do so, let's first create a frequency table by using five intervals, beginning with 18-21.
| Frequency | ||
|---|---|---|
| Age | 2010 Men's World Cup Winner (Spain) | 2011 Women's World Cup Winner (Japan) |
| 18-21 | 2 | 3 |
| 22-25 | 9 | 9 |
| 26-29 | 8 | 7 |
| 30-33 | 4 | 1 |
| 34-37 | 0 | 1 |
Now, to make the double histogram we will split the vertical axis into two equal parts. This will represent the frequency. The top half will be the histogram for the 2010 Men's World Cup Winner, while in the bottom half we will put the histogram for the 2011 Women's World Cup Winner. Let's do it!
Since a double box-and-whisker plot allows us to compare data sets distribution, we used it previously to display the given data sets.
