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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 determine how many of the 195 students will want to visit the Theme Park, we start by calculating the proportion of students in the sample that chose the Theme Park.
From the sample of 30 students, 10 selected the Theme Park. The proportion can be calculated as:
Now, we apply this proportion to the total number of students (195) to predict how many will want to go to the Theme Park:
Therefore, we estimate that 65 out of the 195 students will want to go to the Theme Park.
Step 2
State any assumption you made and explain how this may affect your answer.
Answer
One key assumption made in this calculation is that the sample of 30 students is representative of the entire group of 195 students. If this is true, the calculated proportion of students wanting to go to the Theme Park will likely be accurate.
However, if the sample is not representative, say if the students polled have different preferences compared to the larger group, then our estimation may not reflect the actual desire of all students. For example, if a larger proportion of the students in the entire group prefer other places instead, the estimated 65 students may be too high. This assumption affects the reliability of our prediction.