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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

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.

Practice the full AQA GCSE Statistics Foundation Tier Paper 1

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