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Two groups of students go on a water sport holiday - OCR - GCSE Maths - Question 8 - 2018 - Paper 1
Question 8
Two groups of students go on a water sport holiday. Each student chooses one activity. Students in Group A choose from Diving, Swimming, Paddleboarding and Kayaking... show full transcript
Worked Solution & Example Answer:Two groups of students go on a water sport holiday - OCR - GCSE Maths - Question 8 - 2018 - Paper 1
Step 1
Complete this table for Group A.
Answer
To complete the table, we first find the total number of students in Group A by summing the number of students choosing each activity:
Now we calculate the angle for Paddleboarding using the formula for angles in a pie chart:
Substituting values for Paddleboarding: .
The completed table is:
- Diving: 5 students, 60°
- Swimming: 10 students, 120°
- Paddleboarding: 6 students, 72°
- Kayaking: 9 students, 108°
Step 2
Step 3
One student in Group A changes activity.
Answer
If one student changes from one activity to another, recalculate the number of students for the relevant activities and adjust the pie chart accordingly. For example, if a student moves from Swimming to Diving, the new counts would be 6 students for Diving and 9 students for Swimming.
Step 4
A teacher thinks more students chose Diving in Group B than in Group A.
Answer
The teacher could be wrong because the number of students in Group B who chose Diving is not provided. Without this information, any assumption about the relative numbers cannot be justified. Additionally, the total participation in each group may vary.