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.

Answer 1

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%.