Question

a frequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 12, 16, 8, and 2 respectively. using percentages, what are the relative frequencies of the five classes? complete the table. grade frequency relative frequency a 3 % b 12 % c 16 % d 8 % f 2 % (round to two decimal places as needed.)

Explanation:

Step1: Calculate total frequency

$3 + 12+16 + 8+2=41$

Step2: Calculate relative frequency of A

Relative frequency of A = $\frac{3}{41}\times100\%\approx7.32\%$

Step3: Calculate relative frequency of B

Relative frequency of B = $\frac{12}{41}\times100\%\approx29.27\%$

Step4: Calculate relative frequency of C

Relative frequency of C = $\frac{16}{41}\times100\%\approx39.02\%$

Step5: Calculate relative frequency of D

Relative frequency of D = $\frac{8}{41}\times100\%\approx19.51\%$

Step6: Calculate relative frequency of F

Relative frequency of F = $\frac{2}{41}\times100\%\approx4.88\%$

Answer:

Grade	Frequency	Relative frequency
B	12	29.27%
C	16	39.02%
D	8	19.51%
F	2	4.88%