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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 weekend is the most popular time to visit.
The weekend is the most popular time to visit.

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.

1 answer

To interpret the data in terms of marginal relative frequency, we first calculate the relative frequencies for each category:

  1. Total Visits: 99 (total of both weekday and weekend visits)
  2. Pick-up on Weekday: 25/99 ≈ 25.25%
  3. Pick-up on Weekend: 17/99 ≈ 17.17%
  4. Browse on Weekday: 12/99 ≈ 12.12%
  5. Browse on Weekend: 45/99 ≈ 45.45%

Now looking at these percentages:

  • The majority of visits happen on the weekend (62 out of 99 or about 62.62%).
  • A relatively high percentage of people who come to browse do so on the weekend (about 45.45% of total visits).
  • The pick-up service on weekdays is slightly more popular than on weekends (25.25% vs. 17.17%).

Based on these percentages and interpretations, the statement that aligns best with the data is:

"The weekend is the most popular time to visit."

This represents the overall trend seen in the data.