1. Using the given information, the two-way table can be filled as follows:
Water park Skating Total
Boys 60 55 115
Girls 50 45 95
Total 110 100 210
2. The number of boys who want to go skating is 55.
3. To the nearest hundredth, the relative frequency of boys who want to go the water park is 0.52.
4. To the nearest hundredth, the probability that a randomly selected student is a girl who wants to go skating is 0.47.
5. There are more boy students than girl students, based on the marginal relative frequency.
6. Based on the joint relative frequency, water park is more popular than skating rink as destination.
The number of girls who want to the water park = 50
The number of girls who want to go skating = 45
The number of boys who want to the water park = 60
2. Therefore, the number of boys who want to go skating = 55 (210 - 50 - 45 - 60)
1. Two-way Table
Water park Skating Total
Boys 60 55 115
Girls 50 45 95
Total 110 100 210
Water park Skating Total
Boys 60 55 115
Girls 50 45 95
Total 110 100 210
3. The relative frequency of boys who want to go the water park = 60/115 = 0.52
4. Probability of a randomly selected student is a girl who wants to go skating = 45/95 = 0.47
5. Marginal relative frequency of boys = 115/210 = 0.55
Marginal relative frequency of girls = 95/210 = 0.45
6. Joint relative frequency of water park = 110/210 = 0.52
Joint relative frequency of skating = 100/210 = 0.48