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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
Step 2
(ii) The owner claims that he would expect around 320 visitors on a day with 2 mm of rainfall.
Answer
The scatter diagram shows that with 2 mm of rainfall, the number of visitors generally varies between 200 to 260. Therefore, the owner's expectation of around 320 visitors does not align with the data. The trend line or the overall data points indicate that a significantly lower visitor count is expected with that level of rainfall.
Step 3
(iii) Explain why the scatter diagram should not be used to estimate the number of visitors on a day with 9 mm of rainfall.
Answer
The scatter diagram should not be used for this estimation because the data does not include any points for 9 mm of rainfall. It falls outside the range of the collected data, making any estimation inaccurate and unreliable.
Step 4
(b) Explain why the pie chart cannot be used to work out how many adults visited on that day.
Answer
The pie chart only shows proportions or percentages of different categories (Children and Adults) without specifying the total number of visitors. Therefore, it is not possible to determine the actual number of adults that visited based solely on the pie chart.