Sign In
A double histogram can help us compare the distribution of the data sets.
Sample Answer:
Consider the given data sets.
Speeds of Vehicles (mi/h) | |||
---|---|---|---|
Interstate A | Interstate B | ||
65 | 67 | 67 | 72 |
68 | 71 | 70 | 78 |
72 | 70 | 65 | 71 |
68 | 65 | 71 | 80 |
65 | 68 | 84 | 81 |
75 | 82 | 77 | 79 |
68 | 59 | 69 | 70 |
62 | 68 | 66 | 69 |
75 | 80 | 73 | 75 |
77 | 75 | 84 | 79 |
We are asked to create a display different than a box-and-whisker plot that best represents the data. 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 six intervals, beginning with 56−60.
Frequency | ||
---|---|---|
Speed | Interstate A | Interstate B |
56−60 | 1 | 0 |
61−65 | 4 | 1 |
66−70 | 7 | 6 |
71−75 | 5 | 5 |
76−80 | 2 | 5 |
81−85 | 1 | 3 |
Now, to make the double histogram we will split the vertical axis into two equal parts. This will represent the frequency. In the top half will be the histogram for Interstate A, while in the bottom half we will put the histogram for Interstate B. 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.