Lee wishes to find out if there is a relationship between a person's age and the time it takes them to complete a puzzle - OCR - GCSE Maths - Question 4 - 2018 - Paper 1
Question 4
Lee wishes to find out if there is a relationship between a person's age and the time it takes them to complete a puzzle.
Lee decides to conduct an experiment.
She a... show full transcript
Worked Solution & Example Answer:Lee wishes to find out if there is a relationship between a person's age and the time it takes them to complete a puzzle - OCR - GCSE Maths - Question 4 - 2018 - Paper 1
Step 1
Make one criticism of Lee's method.
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Answer
One criticism of Lee's method could be the sample size. With only 12 participants, the sample may not adequately represent the overall population, potentially leading to inaccurate conclusions.
Step 2
Plot these results on the scatter diagram.
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Answer
To plot the results for ages 47 and 60, mark the coordinate points (47, 21) and (60, 34) on the scatter diagram, ensuring they are accurately positioned according to the respective axes.
Step 3
What type of correlation is shown in the scatter diagram?
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Answer
The scatter diagram shows a negative correlation, indicating that as age increases, the time taken to complete the puzzle generally decreases.
Step 4
Estimate the time it would take a person aged 35 to complete the puzzle.
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Answer
To estimate the time for a 35-year-old, identify the point on the scatter plot corresponding to 35 years. By observing the trend, we can estimate that it might take around 20 seconds, as it falls in line with the existing data points.
Step 5
Lee says that at least 80% of the 12 people completed the puzzle in under 30 seconds.
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Answer
To confirm Lee's statement, count the number of people who completed the puzzle in under 30 seconds. From the data points plotted, if 10 out of 12 completed it in under 30 seconds, then 83.3% (which is greater than 80%) would support Lee's claim.
