Question

A frequency table of grades has five classes​ (A, B,​ C, D,​ F) with frequencies of 2​, 11​, 18​, 8​, and 2 respectively. Using​ percentages, what are the relative frequencies of the five​ classes?

Answer 1

To find the relative frequency of each class, we need to divide the frequency of each class by the total number of grades, and then multiply by 100 to get the percentage.

The total number of grades is:

Total number of grades = 2 + 11 + 18 + 8 + 2 = 41

Now, we can find the relative frequency of each class as follows:

• Class A: Relative frequency = (2/41) x 100% = 4.88%
• Class B: Relative frequency = (11/41) x 100% = 26.83%
• Class C: Relative frequency = (18/41) x 100% = 43.90%
• Class D: Relative frequency = (8/41) x 100% = 19.51%
• Class F: Relative frequency = (2/41) x 100% = 4.88%

Therefore, the relative frequencies of the five classes are:

• Class A: 4.88%
• Class B: 26.83%
• Class C: 43.90%
• Class D: 19.51%
• Class F: 4.88%