To determine the percentage of second-lunch students who eat outside, we can use the given data from the frequency table. Let's break down the process step-by-step:
1. Identify the relevant data:
- For first lunch:
- Students who eat outside: 0.17
- Total students: 0.55
- For second lunch:
- Students who eat outside: 0.21
- Total students: 0.45
2. Calculate the percentage of first-lunch students who eat outside:
- We are given that [tex]$31 \%$[/tex] of students who have first lunch eat outside. This is already provided in the problem.
3. Calculate the percentage of second-lunch students who eat outside:
- We need to calculate this value using the provided data.
4. Perform the calculation for second-lunch students:
- The formula to find the percentage is:
[tex]\[
\text{Percentage} = \left( \frac{\text{Number of students who eat outside}}{\text{Total number of students}} \right) \times 100
\][/tex]
- Plugging in the values for second lunch:
[tex]\[
\text{Percentage of second-lunch students who eat outside} = \left( \frac{0.21}{0.45} \right) \times 100 \approx 46.67\%
\][/tex]
Thus, the percentage of second-lunch students who eat outside is approximately [tex]\(46.67 \%\)[/tex].
Comparing the percentages:
- Percentage of first-lunch students who eat outside: [tex]\(31 \%\)[/tex]
- Percentage of second-lunch students who eat outside: [tex]\(46.67 \%\)[/tex]
This comparison shows that a higher percentage of students eat outside during the second lunch (approximately [tex]\(46.67\%\)[/tex]) compared to the first lunch ([tex]\(31\%\)[/tex]).
True Statement:
- "A higher percentage of students eat outside during the second lunch compared to the first lunch."
