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 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 1 4.2 % 24
total 1 = 100%

Explanation:

Step1: Calculate Total Frequency

Sum the frequencies of all grades: \( 3 + 8 + 7 + 5 + 1 \).
\( 3 + 8 = 11 \), \( 11 + 7 = 18 \), \( 18 + 5 = 23 \), \( 23 + 1 = 24 \).

Step2: Determine Total Cumulative Frequency

The cumulative frequency of the last grade (F) is the total number of data points, which is equal to the total frequency. So it's also 24.

Answer:

For the "Total" row:

• Frequency: \( 24 \)
• Cumulative frequency: \( 24 \)