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)

Question

Responses

0.16
0.16

0.84
0.84

800
800

0.27

Answer 1

To find the relative frequency of undecided voters, we first need to determine the number of undecided voters.

The total number of voters surveyed is 5,000. According to the data:

• Voters for Candidate A: 1,200
• Voters for Candidate B: 3,000

The number of undecided voters can be calculated as follows:

\[ \text{Undecided voters} = \text{Total voters} - (\text{Voters for A} + \text{Voters for B}) \]

\[ \text{Undecided voters} = 5000 - (1200 + 3000) \]

\[ \text{Undecided voters} = 5000 - 4200 \]

\[ \text{Undecided voters} = 800 \]

Next, to find the relative frequency of undecided voters:

\[ \text{Relative frequency of undecided voters} = \frac{\text{Number of undecided voters}}{\text{Total number of voters}} \]

\[ \text{Relative frequency of undecided voters} = \frac{800}{5000} \]

\[ \text{Relative frequency of undecided voters} = 0.16 \]

So, the relative frequency of undecided voters is 0.16.