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Hannah is planning a day trip for 195 students - Edexcel - GCSE Maths - Question 4 - 2019 - Paper 2
Question 4
Hannah is planning a day trip for 195 students. She asks a sample of 30 students where they want to go. Each student chooses one place. The table shows information... show full transcript
Worked Solution & Example Answer:Hannah is planning a day trip for 195 students - Edexcel - GCSE Maths - Question 4 - 2019 - Paper 2
Step 1
Work out how many of the 195 students you think will want to go to the Theme Park.
Answer
To find out how many students from the total of 195 will want to go to the Theme Park, we first calculate the proportion of students in the sample who chose the Theme Park. In this case, 10 out of 30 students chose the Theme Park.
Calculating the proportion:
Now we find out how many students this proportion corresponds to in the total group of 195:
Therefore, approximately 65 students are expected to want to go to the Theme Park.
Step 2
State any assumption you made and explain how this may affect your answer.
Answer
One assumption made in this calculation is that the sample of 30 students is representative of the entire group of 195 students. If the sample is biased or does not reflect the preferences of the larger group accurately, the estimate may be incorrect. For example, if students who prefer the Theme Park are more or less likely to be included in the sample, the actual number of students wanting to go may differ from 65.