To determine which conclusion is false, we'll analyze each statement based on the information in the graph. Let's first derive the total number of students based on the data provided in the graph.
From the graph, we see:
- 5 or more books: 4%
- 1 book: 18%
- 4 books: 12%
- 2 books: 24%
- 3 books: 42%
If we assume that the total number of students is 100 (for simplicity), the counts would be:
- 5 or more books: 4 students
- 1 book: 18 students
- 4 books: 12 students
- 2 books: 24 students
- 3 books: 42 students
Now let's evaluate each statement:
-
If 50 students read four books, then 100 students read two books.
- This statement is false. According to the graph, 12% (12 students) read four books, and 24% (24 students) read two books. The figures given do not substantiate the claim.
-
If the summer reading requirement was to read at least three books, then 42% of the students did not meet the requirement.
- True. If the requirement is to read at least three books, students reading one (18%), two (24%), and four books (12%) must be considered. Therefore, 18% + 24% = 42% did not meet the requirement.
-
Only four students read five or more books.
- True. This corresponds to the 4% of the total (assuming 100 students), which equals 4 students.
-
Sixteen percent of the students read four or more books.
- To find the percentage of students who read four or more books, we would include those who read four books (12%) and those who read five or more (4%). Together, that's 12% + 4% = 16%. So this statement is also true.
Therefore, the false conclusion is:
"If 50 students read four books, then 100 students read two books."