Question

a movie club surveyed 200 high - school students. the students were asked how often they go to the movies and whether they prefer action movies or dramas. their responses are summarized in the following table.

	twice a month or less	three times a month or more
drama	84	20

(a) what percentage of the students go to the movies twice a month or less?
(b) what percentage of the students prefer dramas?

Explanation:

Step1: Calculate number of students who go twice a month or less

Add the number of students who go twice a month or less for action and drama. So, $64 + 84=148$.

Step2: Calculate percentage for part (a)

Use the formula $\text{Percentage}=\frac{\text{Number of relevant students}}{\text{Total number of students}}\times100$. Here, $\frac{148}{200}\times 100 = 74$.

Step3: Calculate number of students who prefer dramas

Add the number of students who prefer dramas for both frequency - categories. So, $84 + 20 = 104$.

Step4: Calculate percentage for part (b)

Use the formula $\text{Percentage}=\frac{\text{Number of relevant students}}{\text{Total number of students}}\times100$. Here, $\frac{104}{200}\times 100=52$.

Answer:

(a) 74%
(b) 52%