Question

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. 70% 100% 100% 72% 27% 100% 30% 28% 73% | 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 relative frequency for Biology - Algebra, divide the frequency of Biology - Algebra (67) by the total for Biology (92).
$\frac{67}{92} \approx 0.728$ or 73%

Step2: Calculate Biology - Geometry

Divide the frequency of Biology - Geometry (25) by the total for Biology (92).
$\frac{25}{92} \approx 0.272$ or 27%

Step3: Calculate Biology - Total

The total relative frequency for a row should be 100%, so this is 100%.

Step4: Calculate Chemistry - Algebra

Divide the frequency of Chemistry - Algebra (46) by the total for Chemistry (66).
$\frac{46}{66} \approx 0.697$ or 70%

Step5: Calculate Chemistry - Geometry

Divide the frequency of Chemistry - Geometry (20) by the total for Chemistry (66).
$\frac{20}{66} \approx 0.303$ or 30%

Step6: Calculate Chemistry - Total

The total relative frequency for a row should be 100%, so this is 100%.

Step7: Calculate Total - Algebra

Divide the total frequency of Algebra (113) by the grand total (158).
$\frac{113}{158} \approx 0.715$ or 72%

Step8: Calculate Total - Geometry

Divide the total frequency of Geometry (45) by the grand total (158).
$\frac{45}{158} \approx 0.285$ or 28%

Step9: Calculate Total - Total

The total relative frequency for the grand total should be 100%, so this is 100%.

Answer:

	Algebra	Geometry	Total
Chemistry	70%	30%	100%
Total	72%	28%	100%