Question

a professor records the following final grades in one course. construct a frequency table for the grades. a a a b b b b b b b b c c c c c c d d d d d f complete the table. (type an integer or decimal rounded to the nearest tenth as needed.) grade frequency relative frequency cumulative frequency a 3 12.5 % 3 b 8 33.3 % 11 c 7 29.2 % 18 d 5 20.8 % 23 f %

Explanation:

Step1: Find Frequency of F

Count the number of F grades. From the list, there's 1 F.

Step2: Calculate Total Number of Grades

Sum frequencies: \( 3 + 8 + 7 + 5 + 1 = 24 \) (Wait, earlier cumulative was 23, but recalculating: 3(A)+8(B)=11, +7(C)=18, +5(D)=23, so F must be 1 to make total 24? Wait, original data: A:3, B:8, C:7, D:5, F:? Let's count the original grades: A (3), B (8: let's count: B appears 8 times? Wait original list: A A A (3), B B B B B B B B (8), C C C C C C C (7), D D D D D (5), F (1). So total is 3+8+7+5+1=24.

Step3: Relative Frequency of F

Relative frequency = (Frequency of F / Total) * 100 = \( \frac{1}{24} \times 100 \approx 4.2\% \)

Step4: Cumulative Frequency of F

Previous cumulative (D) is 23, so add F's frequency: \( 23 + 1 = 24 \)

Answer:

For Grade F:
Frequency: \( 1 \)
Relative frequency: \( 4.2\% \)
Cumulative frequency: \( 24 \)