Question

drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. a group of high - school students were surveyed about which type of movie they enjoy watching most. the results are shown in the two - way relative frequency table below:

	comedy	drama	action	sci - fi	total
male	54	6	22	12	94
total	118	22	42	18	200

use the information provided in the table to match each description with the correct percentage of students.
27.2% 33.3% 47.6% 6.4% 45.8% 57.4% 18.9% 5.7%
percentage of students who prefer comedies that are male
percentage of students who prefer action moves that are female
percentage of female students who prefer sci - fi
percentage of male students who prefer dramas

Explanation:

Step1: Calculate percentage of male students who prefer comedies

The number of male students who prefer comedies is 54, and the total number of students is 200. The formula for percentage is $\frac{\text{part}}{\text{whole}}\times100\%$. So the percentage is $\frac{54}{200}\times 100\% = 27\%$.

Step2: Calculate percentage of female students who prefer action - movies

The number of female students who prefer action - movies is 20, and the total number of students is 200. Using the percentage formula, we get $\frac{20}{200}\times 100\%=10\%$. But this is wrong. We should use the total number of female students as the denominator for this conditional percentage. The number of female students is 106. So the percentage is $\frac{20}{106}\times 100\%\approx 18.9\%$.

Step3: Calculate percentage of female students who prefer sci - fi

The number of female students who prefer sci - fi is 6, and the number of female students is 106. The percentage is $\frac{6}{106}\times 100\%\approx 5.7\%$.

Step4: Calculate percentage of male students who prefer dramas

The number of male students who prefer dramas is 6, and the number of male students is 94. The percentage is $\frac{6}{94}\times 100\%\approx 6.4\%$.

Answer:

percentage of students who prefer comedies that are male: 27.2%
percentage of students who prefer action moves that are female: 18.9%
percentage of female students who prefer sci - fi: 5.7%
percentage of male students who prefer dramas: 6.4%