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.(1 point)

Responses

800
800

0.27
0.27

0.16
0.16

0.84

1 answer

To find the relative frequency of undecided voters, we first need to determine how many voters were undecided.

Total voters = 5,000

Voters for Candidate A = 1,200
Voters for Candidate B = 3,000

Total voters who expressed a preference (for either candidate) = 1,200 + 3,000 = 4,200

Now, we can find the number of undecided voters:

Undecided voters = Total voters - Voters for Candidate A - Voters for Candidate B
Undecided voters = 5,000 - 4,200 = 800

Next, we calculate the relative frequency of undecided voters:

Relative frequency = (Number of undecided voters) / (Total voters)
Relative frequency = 800 / 5,000 = 0.16

So, the relative frequency of undecided voters is 0.16.