Question

lily asked 200 students to select their favorite sport and then recorded the results in the bar graph below. lily will ask another 80 students to select their favorite sport. based on the information in the bar graph, how many more students of the next 80 asked will select basketball rather than football as their favorite sport? a. 10 b. 20 c. 25 d 30

Explanation:

Step1: Calculate the proportion of students who prefer basketball and football in the first - sample

In the first sample of 200 students, the number of students who prefer football is 50 and the number of students who prefer basketball is 75. The proportion of students who prefer football is $\frac{50}{200}=\frac{1}{4}$, and the proportion of students who prefer basketball is $\frac{75}{200}=\frac{3}{8}$.

Step2: Calculate the expected number of students who prefer basketball and football in the new sample of 80 students

The expected number of students who prefer football in the 80 - student sample is $80\times\frac{1}{4} = 20$. The expected number of students who prefer basketball in the 80 - student sample is $80\times\frac{3}{8}=30$.

Step3: Calculate the difference

The difference between the number of students who prefer basketball and football in the new 80 - student sample is $30 - 20=10$.

Answer:

A. 10