Question
Before an election 5,000 voters were asked for there preference. 1,200 said they would vote for candidate A and 3,000 said candidate B and the rest was undecided. What is the relative frequency of the undecided voters ? Expression the answer in decimal form.
Answers
GPT-4o mini
To find the relative frequency of the undecided voters, we first need to determine the number of undecided voters.
Total number of voters surveyed = 5,000
Voters for candidate A = 1,200
Voters for candidate B = 3,000
Undecided voters = Total voters - (Voters for candidate A + Voters for candidate B)
Undecided voters = 5,000 - (1,200 + 3,000)
Undecided voters = 5,000 - 4,200
Undecided voters = 800
Now, to find the relative frequency of the undecided voters, we divide the number of undecided voters by the total number of voters surveyed:
Relative frequency of undecided voters = Undecided voters / Total voters
Relative frequency of undecided voters = 800 / 5,000
Relative frequency of undecided voters = 0.16
So, the relative frequency of the undecided voters is **0.16**.
Total number of voters surveyed = 5,000
Voters for candidate A = 1,200
Voters for candidate B = 3,000
Undecided voters = Total voters - (Voters for candidate A + Voters for candidate B)
Undecided voters = 5,000 - (1,200 + 3,000)
Undecided voters = 5,000 - 4,200
Undecided voters = 800
Now, to find the relative frequency of the undecided voters, we divide the number of undecided voters by the total number of voters surveyed:
Relative frequency of undecided voters = Undecided voters / Total voters
Relative frequency of undecided voters = 800 / 5,000
Relative frequency of undecided voters = 0.16
So, the relative frequency of the undecided voters is **0.16**.