5. Choosing a Data Display
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A double box-and-whisker plot can help us see the distribution of each data set.
Example Answer:
Explanation: See solution.
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 |
From the above we can see that for the men's data set the least value of the data is 21, while the greatest value is 32. Additionally, the first quartile is 23, the third quartile is 28, and the median is 26. In the same way, let's find the five-number summary for the woman's data set.
For the women's data set the least value is 18, while the greatest value is 36. The first quartile is 23+232= 23, the third quartile is 27+272= 27, and the median is 25. We can now draw a number line that includes the least and greatest value of each data set. Then we will graph points above the number line for the five-number summary.
Finally, let's draw the box for each plot by using Q_1 and Q_3. Then we will draw a line through the median and the whiskers from the box to the least and greatest values of each data set.
Please note that this is only one possible way to represent the data. However, there are many other possible ways to do it.