Before an election, 5,000 voters were asked for their preferences. One thousand two hundred (1,200) said they would vote for Candidate A; 3,000 preferred Candidate B; and the rest were undecided. What is the relative frequency of undecided voters? Express the answer in decimal form.
There are a total of 5,000 voters. Of those, 1,200 prefer Candidate A and 3,000 prefer Candidate B. Therefore, the number of undecided voters can be found by subtracting the number of voters who prefer Candidate A or B from the total number of voters:
Undecided voters = 5,000 - 1,200 - 3,000 = 800
The relative frequency of undecided voters is the proportion of all voters who are undecided. To find this, we divide the number of undecided voters by the total number of voters:
Relative frequency of undecided voters = 800 / 5,000 ≈ 0.16
So the answer is approximately 0.16 or 16%.
To find the relative frequency of undecided voters, you need to calculate the proportion of voters who are undecided out of the total number of voters who were asked for their preferences.
The total number of voters asked for their preferences is 5,000.
The number of voters who said they would vote for Candidate A is 1,200.
The number of voters who preferred Candidate B is 3,000.
To find the number of undecided voters, subtract the number of voters who preferred Candidate A and Candidate B from the total number of voters:
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
The relative frequency of undecided voters is the proportion of undecided voters out of the total voters asked for their preferences:
Relative Frequency of Undecided Voters = (Number of Undecided Voters) / (Total Voters)
Relative Frequency of Undecided Voters = 800 / 5,000
Relative Frequency of Undecided Voters ≈ 0.16
Therefore, the relative frequency of undecided voters is approximately 0.16.
To find the relative frequency of undecided voters, we need to determine how many voters are undecided and divide that number by the total number of voters.
To calculate the number of undecided voters, we subtract the number of voters who support Candidate A and Candidate B from the total number of voters:
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 that we know there are 800 undecided voters, we can calculate the relative frequency by dividing the number of undecided voters by the total number of voters:
Relative frequency of undecided voters = Undecided voters / Total voters
Relative frequency of undecided voters = 800 / 5,000
To express the answer in decimal form, we divide 800 by 5,000:
Relative frequency of undecided voters = 0.16
Therefore, the relative frequency of undecided voters is 0.16 or 16% in decimal form.