To determine which statement is false using the provided data, let's analyze the statements one by one based on the relative frequency table.
1. More sophomores are enrolled in chemistry than freshmen in biology:
- Sophomores in Chemistry = 0.25
- Freshmen in Biology = 0.15
- Since 0.25 (sophomores in chemistry) is greater than 0.15 (freshmen in biology), this statement is true.
2. The total number of students in biology is more than in physical science:
- Total students in Biology = 0.35
- Total students in Physical Science = 0.3
- Since 0.35 (total in biology) is greater than 0.3 (total in physical science), this statement is true.
3. The number of freshmen in physical science is the same as the number of sophomores in biology:
- Freshmen in Physical Science = 0.2
- Sophomores in Biology = 0.2
- Since 0.2 (freshmen in physical science) is equal to 0.2 (sophomores in biology), this statement is true.
4. The total number of freshmen is less than the total number of sophomores:
- Total Freshmen = 0.45
- Total Sophomores = 0.55
- Since 0.45 (total freshmen) is less than 0.55 (total sophomores), this statement is true.
Since all four statements are true according to the given data, none of the statements is false.
Thus, there is an issue with the question itself, as it implies there should be a false statement when all provided statements are actually true.
