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?
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%.
To find the relative frequency of undecided voters, we need to determine the number of voters who fall into this category.
We know that there were 5000 voters in total.
The number of voters who preferred candidate A was 1200.
The number of voters who preferred candidate B was 3000.
To find the number of undecided voters, we 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 = 5000 - 1200 - 3000
Undecided voters = 800
Now that we know there are 800 undecided voters, we can find their relative frequency by dividing the number of undecided voters by the total number of voters:
Relative frequency of undecided voters = (Number of undecided voters) / (Total number of voters)
Relative frequency of undecided voters = 800 / 5000
Relative frequency of undecided voters = 0.16
Therefore, the relative frequency of undecided voters is 0.16, or 16%.