Use the table to answer the question.

Pick up Browse Total
Weekday 25 12 37
Weekend 17 45 62
Total 42 57 99
Sal kept track of how many people visited the local library and recorded their purpose for visiting. Using marginal relative frequency, what interpretation can you make from the data in the two-way table?

(1 point)
Responses

The pick-up service is not very popular at this library.
The pick-up service is not very popular at this library.

A high percentage of people pick up on the weekend.
A high percentage of people pick up on the weekend.

People only come to pick up reserved books during the week.
People only come to pick up reserved books during the week.

The weekend is the most popular time to visit.

1 answer

To interpret the data using marginal relative frequency, we need to compare the frequency of visits for each category (Pick up and Browse) relative to the total visits.

  1. Pick up on Weekday: 25 out of 99 total visits, which is approximately \( \frac{25}{99} \approx 25.3% \).
  2. Pick up on Weekend: 17 out of 99 total visits, which is approximately \( \frac{17}{99} \approx 17.2% \).
  3. Browse on Weekday: 12 out of 99 total visits, which is approximately \( \frac{12}{99} \approx 12.1% \).
  4. Browse on Weekend: 45 out of 99 total visits, which is approximately \( \frac{45}{99} \approx 45.5% \).

From these calculations, we can deduce the following insights:

  • A higher percentage of people browse on the weekend (45.5%) compared to the weekday (12.1%).
  • A total of 37 people visited the library for pick-up (25 on weekdays and 17 on weekends), which does not overwhelmingly dominate the visits.

Given the options provided, the most accurate interpretation based on the marginal relative frequency would be:

The weekend is the most popular time to visit.

This is because the majority of visits are made on weekends, specifically for browsing, while the pick-up service shows less popularity overall, particularly on weekends.

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