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a professor records the following final grades in one course. construct…

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 \square \square\\% \square

Explanation:

Step 1: Count Frequency of A

Count how many times 'A' appears. The grades are A, A, A, so frequency is 3.

Step 2: Calculate Total Number of Grades

Count all grades: 3 (A) + 8 (B) + 7 (C) + 5 (D) + 1 (F) = 24 total.

Step 3: Find Relative Frequency of A

Relative frequency = (Frequency of A / Total) 100 = (3/24)100 = 12.5%.

Step 4: Determine Cumulative Frequency of A

Cumulative frequency for A is its own frequency (since it's the first grade), so 3.

Answer:

For Grade A:
Frequency: \( 3 \)
Relative frequency: \( 12.5\% \)
Cumulative frequency: \( 3 \)