Before an election 5,000 voters were asked for their preferences 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 and decimal form A.) 0.84 B.) 0.16 C.)800. D.) 0.27
To find the relative frequency of undecided voters, we need to subtract the number of voters who prefer candidate A and candidate B from the total number of voters and then divide by the total number of voters:
Number of undecided voters = Total number of voters - Number of voters for candidate A - Number of voters for candidate B
Number of undecided voters = 5000 - 1200 - 3000
Number of undecided voters = 800
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 answer is B.) 0.16.
To find the relative frequency of undecided voters, we need to subtract the number of voters who prefer candidate A and candidate B from the total number of voters, and then divide that by the total number of voters.
Total number of voters = 5,000
Number of voters preferring candidate A = 1,200
Number of voters preferring candidate B = 3,000
Number of undecided voters = Total number of voters - Number of voters preferring A - Number of voters preferring B
Number of undecided voters = 5,000 - 1,200 - 3,000
Number of undecided voters = 800
Relative frequency of undecided voters = Number of undecided voters / Total number of voters
Relative frequency of undecided voters = 800 / 5,000
Relative frequency of undecided voters ≈ 0.16
Therefore, the relative frequency of undecided voters is approximately 0.16, so the answer is B.) 0.16.
To find the relative frequency of undecided voters, we need to divide the number of undecided voters by the total number of voters.
In this case, the total number of voters is given as 5,000. And we're told that 1,200 voters prefer candidate A and 3,000 prefer candidate B. So, to find the number of undecided voters, we can subtract the total number of voters who prefer 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 = 5,000 - (1,200 + 3,000)
Undecided voters = 5,000 - 4,200
Undecided voters = 800
So, there are 800 undecided voters out of a total of 5,000 voters.
Now, let's express this as a relative frequency in decimal form. To do that, we need to 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
Relative frequency of undecided voters = 800 / 5,000
Calculating this gives us:
Relative frequency of undecided voters = 0.16
Therefore, the relative frequency of undecided voters is 0.16, which means the answer is B.) 0.16.