Question

which of the following statements is false?
o the largest percentage of students living on campus is in the 1st - year group.
o as the number of years in college increases, the percentage of students living on campus increases.
o as the number of years in college increases, the percentage of students living off campus increases.
o the difference between percent of students living on or off campus decreases as number of years of college increases.

Explanation:

Step1: Analyze each statement

• Statement 1: The tallest blue (on - campus) bar is for the 1st - year group. So, the largest percentage of students living on campus is in the 1st - year group. This statement is true.
• Statement 2: Looking at the blue (on - campus) bars: 1st - year (tall), 2nd - year (tall), 3rd - year (taller), 4th+ (less tall). The height of the on - campus bars does not follow a strictly increasing trend as the number of years in college increases. For example, the 4th+ on - campus bar is shorter than the 3rd - year on - campus bar. So, this statement is false.
• Statement 3: Looking at the orange (off - campus) bars: 1st - year (short), 2nd - year (longer), 3rd - year (longer), 4th+ (longest). As the number of years in college increases, the percentage of students living off - campus increases. This statement is true.
• Statement 4: Calculate the differences:
• 1st - year: \(|60 - 25|=35\)
• 2nd - year: \(|60 - 30| = 30\)
• 3rd - year: \(|60 - 40|=20\)
• 4th+ : \(|45 - 55| = 10\)

The differences are decreasing as the number of years of college increases. This statement is true.

Answer:

As the number of years in college increases, the percentage of students living on campus increases.