5. Choosing a Data Display
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Which data display orders quantitative data and shows how they are distributed?
Example Answer:
Explanation: See solution.
Consider the given data set.
Grades (Out of 100) On a Test | ||||
---|---|---|---|---|
96 | 74 | 97 | 80 | 62 |
84 | 88 | 53 | 77 | 75 |
89 | 81 | 52 | 85 | 63 |
87 | 95 | 59 | 83 | 100 |
We will analyze the data and create a display that best represents the data. Since we have grades, it would be nice to have them in order and see the distribution of the data. Therefore, we can use a stem-and-leaf plot to display this quantitative data. The stems will show tens and the leaves will show units. Since the data is between 52 and 100, the stems will be 5, 6, 7, 8, 9, and 10. Let's set the key
to be 5∣2=52.
Please note that this is only one possible way to represent the data — there are many other possible ways to do it.