Question

One hundred students were asked about their favorite subject. The results are as follows: Subjects Science Mathematics Arts Physical Education Others Number of Students 15 10 30 30 If 200 more students are asked the same question, how many of them would you expect to like mathematics? (1 point) 2 15 1 10 20 10%

Answer 1

To find the expected number of students who would like mathematics out of 200 more students, we first need to determine the proportion of students who liked mathematics in the original group of 100 students.

From the data provided:

• Total students surveyed = 100
• Students who liked mathematics = 10

Now we calculate the proportion of students who liked mathematics:

\[ \text{Proportion of students liking mathematics} = \frac{10}{100} = 0.1 \]

Now, if we survey 200 more students, we can use this proportion to predict how many of these students would also like mathematics:

\[ \text{Expected number of students liking mathematics} = 200 \times 0.1 = 20 \]

Thus, the expected number of students out of 200 who would like mathematics is 20.