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 fcomplete the table.(type an integer or decimal rounded to the nearest tenth as needed )grade frequency relative frequency cumulative frequencya 3 12.5 % 3b □ □% □

Explanation:

Step1: Count the frequency of B

Count the number of B's in the data set. There are 8 B's. So the frequency of B is \(8\).

Step2: Calculate the relative frequency of B

The total number of grades \(n=3 + 8+7 + 4+1=23\). The formula for relative frequency \(rf=\frac{f}{n}\times100\%\), where \(f\) is the frequency and \(n\) is the total number of data points. For \(B\), \(rf=\frac{8}{23}\times 100\%\approx34.8\%\)

Step3: Calculate the cumulative frequency of B

The cumulative frequency is the sum of the frequencies of all classes up to and including the class. The cumulative frequency of \(B\) is \(3 + 8=11\)

Answer:

Grade	Frequency	Relative frequency	Cumulative frequency