One hundred students were asked about their favorite subject. The results are as follows:

Question

Subjects Science Mathematics Arts Physical Education Others
Number of Students 15 10 30 30 15
If 200 more students are asked the same question, how many of them would you expect to like mathematics?

(1 point)
Responses

20
20

2
2

10%
10%

110

Answer 1

To calculate the expected number of students who would like mathematics if 200 more students are asked, we first need to determine the proportion of students who like mathematics from the initial 100 students surveyed.

From the given data:

• Total number of students surveyed = 100
• Number of students who like Mathematics = 10

The proportion of students who like Mathematics is: \[ \text{Proportion} = \frac{\text{Number of students who like Mathematics}}{\text{Total number of students}} = \frac{10}{100} = 0.1 \]

If 200 more students are surveyed, we can expect the same proportion of them to like Mathematics: \[ \text{Expected number of students who like Mathematics} = 200 \times 0.1 = 20 \]

So, if 200 more students are asked the same question, we would expect 20 of them to like mathematics.

The answer is 20.