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    PracticeAQA GCSEAQA GCSE Statistics Higher Tier Paper 1Question 07.1
    Medium2 marksStructured
    Statistical Measures and CalculationsPercentagesRiskData InterpretationGCSE

    AQA GCSE · Question 07.1 · Statistical Measures and Calculations

    Lung cancer risk Never smoked Male 0.2% Female 0.3% Former smokers Male 5.4% Female 2.7% Current smokers Male 15.8% Female 9.6% Heavy smokers Male 24.6% Female 18.6% Based on a 2009 study

    The picture gives the risk of getting lung cancer. Based on the picture, how many out of every 1000 women who have never smoked are expected to get lung cancer?

    How to approach this question

    1. Locate the correct category in the diagram: "Never smoked". 2. Find the risk for females in this category: "Female 0.3%". 3. Understand that this means 0.3 out of every 100 women. 4. The question asks for the number out of 1000. 5. Convert the percentage to a decimal: 0.3% = 0.3 / 100 = 0.003. 6. Multiply this decimal by 1000: 0.003 * 1000 = 3. 7. State the final answer.

    Full Answer

    From the diagram, the risk for a female who has never smoked is 0.3%. To find the number out of 1000, we calculate 0.3% of 1000. 0.3% = 0.3 / 100 = 0.003 Number of women = 0.003 * 1000 = 3. So, 3 women out of every 1000 are expected to get lung cancer.
    The question asks to calculate the expected number of women with lung cancer out of a group of 1000, based on a given risk percentage. 1. From the diagram, under the "Never smoked" category, the risk for a female is 0.3%. 2. This percentage means 0.3 people per 100. 3. To find the number per 1000, we can set up a proportion or simply multiply. Since 1000 is 10 times larger than 100, the number of people will also be 10 times larger. Number = 0.3 * 10 = 3. 4. Alternatively, convert the percentage to a decimal (0.3% = 0.003) and multiply by the total number of people (1000). Number = 0.003 × 1000 = 3. So, 3 women are expected to get lung cancer.

    Common mistakes

    ✗ Using the wrong percentage (e.g., for males, or for a different smoking category). ✗ Making a mistake when converting the percentage to a decimal (e.g., 0.3% = 0.3 or 0.03). ✗ Incorrectly calculating 0.3% of 1000 (e.g., getting 30 or 0.3).
    Question 06.8All questionsQuestion 07.2

    Practice the full AQA GCSE Statistics Higher Tier Paper 1

    42 questions · hints · full answers · grading

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