Question

a national survey asked people, \how often do you eat out for dinner, instead of at home?\ the frequencies were as follows. complete parts (a) through (g).

\

$$\begin{tabular}{|l|c|} \\hline response & frequency \\\\ \\hline never & 212 \\\\ rarely & 543 \\\\ sometimes & 936 \\\\ most of the time & 392 \\\\ always & 42 \\\\ \\hline \\end{tabular}$$

the correct answer below.

a.
bar chart showing frequencies: n=212, r=543, s=936, m=392, a=392

b.
bar chart showing frequencies: n=212, r=543, s=450, m=392, a=42

c.
bar chart showing frequencies: n=212, r=543, s=936, m=392, a=42

Explanation:

⚡ Using what you learned: Organizing Data in Tables

Step 1: Match Table Frequencies to Graph Heights

We match the frequency of each response category to the heights of the bars on the graphs:

• Never (N): \(212\) (The blue bar should be just above \(200\))
• Rarely (R): \(543\) (The red bar should be slightly above \(500\))
• Sometimes (S): \(936\) (The green bar should be nearly at \(1000\))
• Most of the time (M): \(392\) (The yellow bar should be just under \(400\))
• Always (A): \(42\) (The purple bar should be very low, near \(0\))

Step 2: Evaluate the Options

• Graph A: The bar for Always (A) is shown at nearly \(400\), which is incorrect because the frequency is only \(42\).
• Graph B: The bar for Sometimes (S) is shown below \(500\), which is incorrect because the frequency is \(936\).
• Graph C:
• N is just above \(200\).
• R is just above \(500\).
• S is nearly \(1000\).
• M is just under \(400\).
• A is very close to \(0\).

This matches all the frequencies perfectly.

Answer:

C