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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) 0.16 0.84 800 0.27

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

  1. Total number of voters surveyed = 5,000
  2. Voters for Candidate A = 1,200
  3. Voters for Candidate B = 3,000

The total number of voters who expressed a preference (for either Candidate A or Candidate B) is: \[ 1,200 + 3,000 = 4,200 \]

Now, we can find the number of undecided voters: \[ \text{Undecided voters} = \text{Total voters} - \text{Voters for Candidate A and B} \] \[ \text{Undecided voters} = 5,000 - 4,200 = 800 \]

Next, we calculate the relative frequency of the undecided voters: \[ \text{Relative frequency of undecided voters} = \frac{\text{Undecided voters}}{\text{Total voters}} = \frac{800}{5,000} \]

Calculating the fraction: \[ \frac{800}{5,000} = 0.16 \]

Thus, the relative frequency of undecided voters is 0.16.