The owner of a tourist attraction records the amount of rainfall, in millimetres, and the number of visitors each day - OCR - GCSE Maths - Question 3 - 2017 - Paper 1
Question 3
The owner of a tourist attraction records the amount of rainfall, in millimetres, and the number of visitors each day.
The results for 10 days are shown in the scatt... show full transcript
Worked Solution & Example Answer:The owner of a tourist attraction records the amount of rainfall, in millimetres, and the number of visitors each day - OCR - GCSE Maths - Question 3 - 2017 - Paper 1
Step 1
Circle the outlier on the scatter diagram.
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Answer
The outlier on the scatter diagram is the point at (8, 120). This point is significantly distant from the rest of the data, indicating that it does not fit the overall trend shown in the scatter plot.
Step 2
Does the scatter diagram support his statement? Explain how you made your decision.
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Answer
The scatter diagram does not support the owner's claim of expecting 320 visitors on a day with 2 mm of rainfall. From the graph, it can be observed that the number of visitors for 2 mm of rainfall ranges around 200 to 260 visitors, with no evidence to support a value as high as 320. My decision is based on the trend displayed in the scatter plot, where the values of visitors do not correlate with the claim made.
Step 3
Explain why the scatter diagram should not be used to estimate the number of visitors on a day with 9 mm of rainfall.
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The scatter diagram should not be used to estimate the number of visitors on a day with 9 mm of rainfall because this data point is outside the range of the collected data. There are no data points representing 9 mm of rainfall, leading to an inability to make a reliable estimate about the number of visitors for that day.
Step 4
Explain why the pie chart cannot be used to work out how many adults visited on that day.
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The pie chart cannot be used to determine how many adults visited because it only shows proportions or percentages of the total visitors. Without specific numbers for each category, it's impossible to extract the exact number of adult visitors from the chart.