Question

q8.) violet, amy, and joseph are running for student senate, and there is one seat open in their college. voter preferences are given in the following graph according to a survey of 20 students in their college. if there are 512 students in the college, what is a good prediction of the number of votes amy will receive?

Explanation:

Step1: Calculate the proportion of Amy's votes in the survey

The total number of votes in the survey is \(2 + 10+8=20\). The number of votes for Amy in the survey is 10. So the proportion of Amy's votes in the survey is \(\frac{10}{20}=\frac{1}{2}\).

Step2: Predict the number of votes for Amy in the whole - college

There are 512 students in the college. Multiply the total number of students by the proportion of Amy's votes in the survey. The predicted number of votes for Amy is \(512\times\frac{1}{2}=256\).

Answer:

256