Question

a group of 250 middle school students were asked whether they prefer playing video games or watching tv in their spare time. the genders of the students and their responses are reported in the following table.

(a) what percentage of the students are boys?
(b) what percentage of the students prefer watching tv?

Explanation:

Part (a)

Step1: Find total number of boys

To find the total number of boys, we add the number of boys who prefer playing video games and watching TV. So, \( 62 + 43 = 105 \).

Step2: Calculate the percentage of boys

The total number of students is 250. The percentage of boys is calculated as \( \frac{105}{250} \times 100 \).
First, \( \frac{105}{250}=0.42 \), then \( 0.42\times100 = 42 \).

Step1: Find total number of students who prefer watching TV

To find the total number of students who prefer watching TV, we add the number of girls and boys who prefer watching TV. So, \( 102 + 43 = 145 \).

Step2: Calculate the percentage of students who prefer watching TV

The total number of students is 250. The percentage is calculated as \( \frac{145}{250} \times 100 \).
First, \( \frac{145}{250}=0.58 \), then \( 0.58\times100 = 58 \).

Answer:

(a) \( 42\% \)

Part (b)