To evaluate which conclusion is false, let's analyze each statement based on the percentages given from the circle graph:
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If 50 students read four books, then 100 students read two books.
- 12% of students read four books.
- If 50 students read four books, that represents 12% of the total students. Therefore, the total number of students can be calculated as: \[ \text{Total students} = \frac{50}{0.12} \approx 416.67 \text{ (not possible, so let's use whole numbers)} \]
- If we take 50 as the base, you can calculate it using a reasonable whole number:
- Let’s assume about 417 total, which gives an approximation of students.
- In this case, total would be about 100 for those who read two books.
- This statement seems plausible.
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If the summer reading requirement was to read at least three books, then 42% of the students did not meet the requirement.
- 42% of students read 3 books, which means they met the requirement.
- The remaining percentages (18% for 1 book + 24% for 2 books + 12% for 4 books + 4% for 5 or more books) add up to 58%, meaning those didn't meet it.
- Therefore, this statement is false.
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Only four students read five or more books.
- 4% of students read five or more books.
- If we assume 417 students (as previously calculated), then 4% of this would indeed be around 16-17 students who read 5 or more books, not four.
- This statement is false.
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Sixteen percent of the students read four or more books.
- Students who read 4 books make up 12%, and those who read 5 or more comprise 4%.
- Thus, the total percentage for reading 4 or more is 12% + 4% = 16%.
- This statement is true.
Now, looking at the summaries:
- The second statement about 42% not meeting the requirement is true based on our calculations.
- The statement claiming "Only four students read five or more books" is indeed false when evaluated.
Therefore, the false conclusion is “Only four students read five or more books.”