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. bot
There were a total of 5,000 voters surveyed. We know that 1,200 said they would vote for Candidate A and 3,000 preferred Candidate B. That leaves:
5,000 - 1,200 - 3,000 = 800
So, there are 800 undecided voters. To find the relative frequency of undecided voters, we need to divide the number of undecided voters by the total number of voters surveyed:
800 / 5,000 = 0.16
Therefore, the relative frequency of undecided voters is 0.16 or 16% (expressed in decimal form).
To find the relative frequency of the undecided voters, we need to subtract the number of voters who preferred Candidate A and Candidate B from the total number of voters, and then divide that by the total number of voters.
The total number of voters is given as 5,000.
The number of voters who preferred Candidate A is given as 1,200.
The number of voters who preferred Candidate B is given as 3,000.
So, the number of undecided voters can be calculated as:
Undecided voters = Total voters - (Voters for Candidate A + Voters for Candidate B)
= 5000 - (1200 + 3000)
= 5000 - 4200
= 800
Now, to find the relative frequency of the undecided voters, we divide the number of undecided voters by the total number of voters:
Relative frequency of undecided voters = (Number of undecided voters) / (Total number of voters)
= 800 / 5000
= 0.16
Therefore, the relative frequency of the undecided voters is 0.16 (or 16% when expressed as a percentage).