Question

early in a presidential primary, a survey was conducted in which a random sample of 40 voters was asked which candidate, a through e, they would likely support for the nomination for president. the results are provided in the accompanying table. the letter n indicates that the voter had no opinion. complete parts (a) through (d) below.

click the icon to view the results of the survey.

(type integers or decimals rounded to three decimal places as needed.)

(c) construct a frequency bar graph. choose the correct graph below.

(d) construct a relative frequency bar graph. choose the correct graph below.

Explanation:

⚡ Using what you learned: displaying data: bar graphs & circle graphs

Step 1: Identify the correct frequency distribution

Based on the selected option A in part (c), we can determine the frequency of each category by reading the heights of the bars in the correct graph:

• A: \(6\)
• B: \(2\)
• C: \(4\)
• D: \(19\)
• E: \(5\)
• N: \(4\)

Let's verify the total sample size \(n\):

$$ n = 6 + 2 + 4 + 19 + 5 + 4 = 40 $$

This matches the sample size of \(40\) voters mentioned in the problem description.

Step 2: Match the frequencies to the correct graph options

Let's analyze the bar heights for each option in part (c) to confirm why A is correct:

• Graph A:
• Bar A is slightly above \(5\) (value is \(6\)).
• Bar B is very low (value is \(2\)).
• Bar C is just below \(5\) (value is \(4\)).
• Bar D is just below \(20\) (value is \(19\)).
• Bar E is at \(5\) (value is \(5\)).
• Bar N is just below \(5\) (value is \(4\)).

This perfectly matches our frequency distribution.

• Graph B: Bar D is at \(20\), which is incorrect.
• Graph C: Bar B is the highest bar, which is incorrect.
• Graph D: Bar B is the highest bar, which is incorrect.

Therefore, A is the correct frequency bar graph.

Answer:

The correct graph for part (c) is A.