Question

a frequency table of grades has five classes (a, b, c, d, f) with frequencies of 2, 10, 17, 4, and 3 respectively. using percentages, what are the relative frequencies of the five classes?
complete the table.
grade frequency relative frequency
a 2 %
b 10 %
c 17 %
d 4 %
f 3 %
(round to two decimal places as needed.)

Explanation:

Step1: Calculate total frequency

$2 + 10+17 + 4+3=36$

Step2: Calculate relative frequency for A

Relative frequency of A = $\frac{2}{36}\times100\%\approx 5.56\%$

Step3: Calculate relative frequency for B

Relative frequency of B = $\frac{10}{36}\times100\%\approx 27.78\%$

Step4: Calculate relative frequency for C

Relative frequency of C = $\frac{17}{36}\times100\%\approx 47.22\%$

Step5: Calculate relative frequency for D

Relative frequency of D = $\frac{4}{36}\times100\%\approx 11.11\%$

Step6: Calculate relative frequency for F

Relative frequency of F = $\frac{3}{36}\times100\%\approx 8.33\%$

Answer:

Grade	Relative frequency
B	27.78%
C	47.22%
D	11.11%
F	8.33%