To interpret the data using marginal relative frequency, we can calculate the relative frequencies for each category (Pick up and Browse) and for each time (Weekday and Weekend) based on the total visits.
First, let's calculate the total for each category:
- Total visits: 99
- Total for "Pick up": 42
- Total for "Browse": 57
- Total for "Weekdays": 37
- Total for "Weekends": 62
Now, let's calculate the marginal relative frequencies:
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For Pick up:
- Relative frequency for Pick up: 42/99 ≈ 0.424 (or 42.4%)
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For Browse:
- Relative frequency for Browse: 57/99 ≈ 0.576 (or 57.6%)
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For Weekdays:
- Relative frequency for Weekdays: 37/99 ≈ 0.373 (or 37.4%)
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For Weekends:
- Relative frequency for Weekends: 62/99 ≈ 0.627 (or 62.6%)
Now, let's interpret these findings based on the options provided:
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A high percentage of people pick up on the weekend. (This is not true since only 17 out of 62 weekend visitors picked up, which is approximately 27.4%.)
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The pick-up service is not very popular at this library. (This is a reasonable interpretation since only about 42.4% of total visits were for picking up, indicating it might not be very popular.)
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People only come to pick up reserved books during the week. (This is false; there is significant activity on weekends as well.)
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The weekend is the most popular time to visit. (This is true since more people visited on weekends—62 compared to 37 on weekdays.)
Based on the calculations and interpretations, the most accurate response appears to be:
The weekend is the most popular time to visit.