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    PracticeAQA GCSEAQA GCSE Statistics Foundation Tier Paper 1Question 13.4
    Easy1 markExtended Response
    Interpreting Results and Evaluating Findingsroundingaccuracyinterpreting datafoundation

    AQA GCSE · Question 13.4 · Interpreting Results and Evaluating Findings

    Data Sheet - Table 2
    Percentage of films shown at a Northtown multiscreen cinema.

    CertificatePercentage
    U15%
    PG30%
    12A40%
    1515%
    180%

    Look at Table 2 on the Data Sheet. How do you know that the percentages are not exact?

    How to approach this question

    When calculating percentages from real-world counts, the results often have many decimal places. What do we usually do to these numbers to make them easier to present in a table? What effect does this have on their sum?

    Full Answer

    The percentages add up to exactly 100% (15+30+40+15+0 = 100), which is unlikely with real-world data that has been rounded. A better answer would be that the percentages themselves are likely rounded from the raw counts of films shown.
    When calculating percentages from raw data (e.g., the number of U-rated films shown out of the total number of films shown), the result is often a long decimal. For example, if 34 out of 150 films were U-rated, the percentage is (34/150)*100 = 22.666...%. To present this in a table, it would be rounded (e.g., to 22.7% or 23%). Because of this rounding for each category, when you add the percentages up, they may not sum to exactly 100% (they might sum to 99.9% or 100.1%). The fact that the percentages in Table 2 are whole numbers and add up perfectly to 100 suggests they have been rounded or adjusted to fit, and are therefore not the exact calculated values.

    Common mistakes

    ✗ Stating that the data is made up. ✗ Saying "because the total is 100%". This is a feature of the data, not a reason why it isn't exact.
    Question 13.3All questionsQuestion 13.5

    Practice the full AQA GCSE Statistics Foundation Tier Paper 1

    47 questions · hints · full answers · grading

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