QUESTION IMAGE
Question
creating a conditional relative frequency table by row
high school students were surveyed about which math and science topics they preferred. they were asked to choose algebra or geometry, and biology or chemistry. the results are shown in the frequency table below.
use this table to create a relative frequency table by row.
drag each tile to the correct cell in the table.
| algebra | geometry | total | |
|---|---|---|---|
| chemistry | 46 | 20 | 66 |
| total | 113 | 45 | 158 |
100% 72% 30% 28% 100% 27% 100% 73% 70%
Step1: Calculate relative - frequency for Biology row
For Algebra in Biology row: $\frac{67}{92}\approx 73\%$. For Geometry in Biology row: $\frac{25}{92}\approx 27\%$. The total for Biology row is 100%.
Step2: Calculate relative - frequency for Chemistry row
For Algebra in Chemistry row: $\frac{46}{66}\approx 70\%$. For Geometry in Chemistry row: $\frac{20}{66}\approx 30\%$. The total for Chemistry row is 100%.
Step3: Total row percentages
The totals for each column in the relative - frequency table will be different from 100% in this case. But for the overall concept of row - relative frequency, each row total is 100%.
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| Algebra | Geometry | Total | |
|---|---|---|---|
| Chemistry | 70% | 30% | 100% |
| Total | - | - | - |