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 c 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 □ □% □

Explanation:

Step1: Count the frequency of grade A

Count the number of A's in the data set. There are 3 A's. So the frequency of A is 3.

Step2: Calculate the total number of grades

Count all the grades: 3(A) + 8(B)+7(C)+4(D)+1(F)=23.

Step3: Calculate the relative frequency of grade A

The formula for relative frequency is \(\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total}}\times100\%\). For grade A, \(\frac{3}{23}\times 100\%\approx13.0\%\)

Step4: Calculate the cumulative frequency of grade A

Since it is the first - listed grade, the cumulative frequency is equal to its frequency. So the cumulative frequency of A is 3.

Answer:

Grade	Frequency	Relative frequency	Cumulative frequency