To interpret the data using marginal relative frequency, we can calculate the percentage of people who visit for each purpose (Pick up or Browse) relative to the total number of visitors.
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Percentage of Pick up Visitors:
- Total Pick up visitors = 42
- Total visitors = 99
- Marginal relative frequency for Pick up = \( \frac{42}{99} \) ≈ 0.424 or 42.4%
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Percentage of Browse Visitors:
- Total Browse visitors = 57
- Total visitors = 99
- Marginal relative frequency for Browse = \( \frac{57}{99} \) ≈ 0.576 or 57.6%
The percentage of people who come to pick up books is 42.4%, which is lower than the percentage of those who come to browse (57.6%).
Now, looking at the interpretations:
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"A high percentage of people pick up on the weekend." - This could be true, but we need to analyze the actual numbers for Saturdays/Sundays versus weekdays, which are not provided in the statements.
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"The weekend is the most popular time to visit." - This is likely true since total weekend visitors (62) exceed total weekday visitors (37).
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"People only come to pick up reserved books during the week." - This is not accurate, as people also come on weekends to pick up.
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"The pick-up service is not very popular at this library." - Given that only 42.4% of visitors come for picking up, this could be interpreted as relatively less popular compared to browsing.
Best interpretation: The weekend is the most popular time to visit.
So, the best choice based on the data provided is: The weekend is the most popular time to visit.
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