To interpret the data using marginal relative frequency, we need to calculate the total percentages for each category.
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Total Visitors: The total number of visits is 99 (42 for weekdays and 57 for weekends).
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Relative Frequency for Pick Up:
- Weekday Pick Up: 25 out of 99 = \( \frac{25}{99} \approx 0.2525 \) or 25.25%
- Weekend Pick Up: 17 out of 99 = \( \frac{17}{99} \approx 0.1717 \) or 17.17%
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Relative Frequency for Total Visits:
- Weekday Total: 42 out of 99 = \( \frac{42}{99} \approx 0.4242 \) or 42.42%
- Weekend Total: 57 out of 99 = \( \frac{57}{99} \approx 0.5758 \) or 57.58%
Now, based on these percentages, we can analyze the options provided:
- A high percentage of people pick up on the weekend: This is false, as only 17.17% of visitors came for the pick-up service on weekends.
- The pick-up service is not very popular at this library: This seems valid, as only 25.25% + 17.17% = 42.42% of the visits were for pick-up.
- The weekend is the most popular time to visit: This is true, as 57.58% of visits occurred on the weekend.
- People only come to pick up reserved books during the week: This is false, as there are also visitors on the weekend.
Therefore, the best interpretation from the data in the two-way table is: The weekend is the most popular time to visit.
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