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Each person in a fitness club is going to get a free gift - Edexcel - GCSE Maths - Question 5 - 2019 - Paper 2
Question 5
Each person in a fitness club is going to get a free gift. Stan is going to order the gifts. Stan takes a sample of 50 people in the fitness club. He asks each pers... show full transcript
Worked Solution & Example Answer:Each person in a fitness club is going to get a free gift - Edexcel - GCSE Maths - Question 5 - 2019 - Paper 2
Step 1
Work out how many sports bags Stan should order.
Answer
To determine how many sports bags Stan should order, we first calculate the proportion of people who chose sports bags from the sampled population.
The number of people who chose sports bags is 17 from a sample of 50. Therefore, the proportion is:
To find out how many sports bags to order for the total of 700 people in the fitness club, we calculate:
Calculating this gives:
Thus, Stan should order 238 sports bags.
Step 2
Write down any assumption you made and explain how this could affect your answer.
Answer
One assumption made is that the sample of 50 people is representative of the entire fitness club. This means that the preferences of the sampled group reflect those of the larger group of 700 members. However, if the sample is biased (e.g., if certain groups within the club were over- or under-represented), the resulting estimate of 238 could be inaccurate. For instance, if more people prefer gym towels than represented in the sample, ordering 238 sports bags could lead to a shortage of preferred items, negatively impacting member satisfaction.