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Practice with Categorical Data
Show your work or explain your thinking. There may be a few different methods that work.
1. This table shows the data generated in a past term from Gretchen Rubin's online Four Tendencies Quiz. Complete the table.
| Response | Frequency (raw count) | Relative Frequency (as fractions) | Relative Frequency (as decimals) | Relative Frequency (as percentages) |
|---|---|---|---|---|
| Questioner | 5 | 5⁄22 | ||
| Rebel | 4 | 0.18 | 18% | |
| Obliger | 11 | |||
| Upholder | 2 | |||
| Total | 22 |
2. Do you have any reactions to this data?
3. Create two bar graphs, one using frequency (raw count) and one using relative frequency (as percentages). Be sure to label each axis and indicate the scale. (The vertical axes have been labeled for you.)
4. What do you notice about the two graphs?
5. Copy the numbers from the previous table for the Relative Frequency (as decimals) into the second table below.
| Response | Relative Frequency (as decimals) | Degrees for Pie Chart |
|---|---|---|
| Questioner | ||
| Rebel | 0.18 | 0.18 × 360° = 65° |
| Obliger | ||
| Upholder | ||
| Total |
6. Finish calculating how many degrees each category's slice should be in a pie chart.
7. Create a pie chart below. Either use a protractor, or estimate the angles using the fact that 25% is a 90 degree angle, and 50% is a 180 degree angle. Label each section with the Tendency and the percentage.
These problems are not graded. They are only to help you practice with our math topics. Do not rush to look at answers! First ask for hints from your instructor or classmates. But if you are really ready, the answers are here.
