Question

a group of 150 middle school students were asked whether they prefer playing video games or watching tv in their spare time. their responses are reported in the following table.
playing video games: boys - 36, girls - 27
watching tv: boys - 27, girls - 60
(a) what percentage of the students prefer playing video games?
(b) what percentage of the students are boys?

Explanation:

Step1: Calculate percentage for (a)

Total students who prefer playing video games: \(36 + 27=63\).
Formula for percentage: \(\frac{\text{Number of students who prefer playing video games}}{\text{Total number of students}}\times100\).
Total number of students \(=150\).
So, \(\frac{63}{150}\times100 = 42\).

Step2: Calculate percentage for (b)

Total number of boys: \(36 + 27 = 63\).
Formula for percentage: \(\frac{\text{Number of boys}}{\text{Total number of students}}\times100\).
So, \(\frac{63}{150}\times100=42\).

Answer:

(a) \(42\%\)
(b) \(42\%\)