Question

Students at Dover Community College (DCC) have a mean credit card debt of $3,600 with a median of $1,500. Students at Ralton Community College (RCC) have a mean credit card debt of $3,000 with a median of $2,800.

Which statements about the two groups are true based on this information? There may be more than one correct answer.
A. The total debt of RCC students is less than the total debt of DCC students.
B. The total debt of RCC students is larger than the total debt of DCC students.
C. Less than half of DCC students have debt in excess of $3,600
D. About three-fourths of DCC students have debt less than $3,600
E. No more than half of RCC students have debt less than $2,800
F. The largest debt of the RCC students is less than the largest debt of the DCC students.

Answer 1

Based on the given information, the statements that are true about the two groups are: The total debt of RCC students is smaller than the total debt of DCC students. Less than half of DCC students have debt in excess of $3,600. The largest debt of the RCC students is less than the largest debt of the DCC students.

Step-by-step explanation:

Based on the given information:

1. The mean credit card debt of DCC students is $3,600, which is higher than the mean credit card debt of RCC students, which is $3,000.
2. The median credit card debt of DCC students is $1,500, which is lower than the median credit card debt of RCC students, which is $2,800.
3. The total debt of RCC students is smaller than the total debt of DCC students, since the mean and median debt amounts are both lower for RCC students.
4. Less than half of DCC students have debt in excess of $3,600, since the median debt amount is $1,500.
5. About three-fourths of DCC students have debt less than $3,600, since the median debt amount is $1,500.
6. No more than half of RCC students have debt less than $2,800, since the median debt amount is $2,800.
7. The largest debt of the RCC students is less than the largest debt of the DCC students, since the median debt amount is higher for DCC students ($2,800) compared to RCC students ($1,500).