Olivia could expect to receive approximately 99 votes in the November election.
To estimate the number of votes Olivia might receive in the November election, we can calculate the average number of votes she received in the three months leading up to the election and then use that average to predict her November votes.
The average number of votes per survey is:
(27+23+24)/ 3
= 74/ 3
≈24.67.
Now, we can use this average to estimate the total number of votes Olivia might receive in November. Since there are 200 students voting, we can set up the proportion:
Votes in November/ Total students= Average votes per survey/ Students surveyed
Substitute in the known values:
Votes in November/ 200 = 24.67/ 50
Now, solve for the number of votes in November:
Votes in November= 24.67/50 ×200.
Calculating this:
Votes in November≈ 24.67/50 ×200≈98.68.
So, based on the average from the surveys, Olivia might expect to receive around 98.68 votes in the November election. Since we can't have a fraction of a vote, we might round this to the nearest whole number. Therefore, Olivia could expect to receive approximately 99 votes in the November election.
Question
olivia is running for student body president. her campaign takes 3 surveys of 50 randomly selected students of all grade levels in the 3 months prior to the november election to determine how many votes she will receive. She received 27 votes in august. She received 23 votes in September. She received 24 votes in October. if 200 students vote in the november election, how many votes should olivia expect to receive