Question

instruction active 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. 100% 30% 72% 73% 70% 28% 27% 100% 100% | algebra | geometry | total | |---|---|---| | biology | 67 | 25 | 92 | | chemistry | 46 | 20 | 66 | | total | 113 | 45 | 158 | | | algebra | geometry | total | |---|---|---|---| | biology | | | | | chemistry | | | | | total | | | |

Explanation:

Step1: Calculate Biology - Algebra

To find the conditional relative frequency for Biology - Algebra, divide the frequency of Biology and Algebra by the total for Biology. So, $\frac{67}{92} \approx 73\%$.

Step2: Calculate Biology - Geometry

Divide the frequency of Biology and Geometry by the total for Biology: $\frac{25}{92} \approx 27\%$.

Step3: Biology - Total

The total for each row should be 100%, so Biology - Total is 100%.

Step4: Calculate Chemistry - Algebra

Divide the frequency of Chemistry and Algebra by the total for Chemistry: $\frac{46}{66} \approx 70\%$.

Step5: Calculate Chemistry - Geometry

Divide the frequency of Chemistry and Geometry by the total for Chemistry: $\frac{20}{66} \approx 30\%$.

Step6: Chemistry - Total

The total for the Chemistry row is 100%.

Step7: Calculate Total - Algebra

Divide the total frequency of Algebra by the grand total: $\frac{113}{158} \approx 72\%$.

Step8: Calculate Total - Geometry

Divide the total frequency of Geometry by the grand total: $\frac{45}{158} \approx 28\%$.

Step9: Total - Total

The grand total's relative frequency is 100%.

Answer:

• Biology - Algebra: 73%
• Biology - Geometry: 27%
• Biology - Total: 100%
• Chemistry - Algebra: 70%
• Chemistry - Geometry: 30%
• Chemistry - Total: 100%
• Total - Algebra: 72%
• Total - Geometry: 28%
• Total - Total: 100%