Question

a frequency table of grades has five classes (a, b, c, d, f) with frequencies of 5, 14, 18, 6, and 3 respectively. using percentages, what are the relative - frequencies for the five classes? complete the table grade frequency relative frequency a 5 % b 14 % c 18 % d 6 % f 3 % (round to two decimal places as needed)

Explanation:

Step1: Calculate total frequency

$5 + 14+18 + 6+3=46$

Step2: Calculate relative frequency for grade A

Relative frequency of A = $\frac{5}{46}\times100\%\approx10.87\%$

Step3: Calculate relative frequency for grade B

Relative frequency of B = $\frac{14}{46}\times100\%\approx30.43\%$

Step4: Calculate relative frequency for grade C

Relative frequency of C = $\frac{18}{46}\times100\%\approx39.13\%$

Step5: Calculate relative frequency for grade D

Relative frequency of D = $\frac{6}{46}\times100\%\approx13.04\%$

Step6: Calculate relative frequency for grade F

Relative frequency of F = $\frac{3}{46}\times100\%\approx6.52\%$

Answer:

Grade	Frequency	Relative frequency
B	14	30.43%
C	18	39.13%
D	6	13.04%
F	3	6.52%