Class Limit | Class Midpoint | Frequency | Relative Frequency
--- | --- | --- | ---
40 - 49.9 | 45 | 2 | 0.08
50 - 59.9 | 55 | 1 | 0.04
60 - 69.9 | 65 | 6 | 0.24
70 - 79.9 | 75 | 6 | 0.24
80 - 89.9 | 85 | 7 | 0.28
90 - 99.9 | 95 | 2 | 0.08

How many students were in the class?

A) 75
B) 100
C) 10
D) 95
E) 25

By dividing the frequency by the relative frequency for each class interval, and verifying it with multiple intervals, we determined that the total number of students is 25, which corresponds to option E.

To calculate the total number of students in the class, we need to use the relative frequency provided for each class interval and the respective frequency of students. The relative frequency is the portion of the total number of students that fall within a particular class interval. By dividing the frequency by the relative frequency for each interval, we can derive the total number of students.

For the class interval 40-49.9, relative frequency is 0.08 and the frequency is 2. Thus, the total students N can be calculated as, N = frequency / relative frequency = 2 / 0.08 = 25 students.

To double-check, we should perform this calculation for at least one other interval to ensure our total is consistent throughout. Looking at 60-69.9, with a frequency of 6 and a relative frequency of 0.24, we have N = 6 / 0.24 = 25 students again.

Since the derived total number of students is consistent across different intervals, we can confidently conclude that the correct answer is 25 students, corresponding to option E.