5000 voters were ask their preferences. 1200 said they would vote for candidate A, 3000 preferred candidate B, and the rest were undecided. What is the relative frequency of undecided voters?

Answer 1

We know that a total of 5000 people were surveyed. Out of these, 1200 said they would vote for candidate A and 3000 preferred candidate B. Therefore, the number of undecided voters is:

Undecided voters = Total surveyed - (voters for A + voters for B)
Undecided voters = 5000 - (1200 + 3000)
Undecided voters = 5000 - 4200
Undecided voters = 800

To find the relative frequency of undecided voters, we need to divide the number of undecided voters by the total number of people surveyed and then multiply by 100 to get a percentage:

Relative frequency of undecided voters = (Undecided voters / Total surveyed) x 100%
Relative frequency of undecided voters = (800 / 5000) x 100%
Relative frequency of undecided voters = 0.16 x 100%
Relative frequency of undecided voters = 16%

Therefore, the relative frequency of undecided voters is 16%.