Question

a frequency table of grades has five classes (a, b, c, d, f) with frequencies of 2, 12, 18, 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 12 c 18 d 4 f 3 (round to two decimal places as needed)

Explanation:

Step1: Calculate total frequency

$2 + 12+18 + 4+3=39$

Step2: Calculate relative frequency for grade A

Relative frequency of A = $\frac{2}{39}\times100\%\approx 5.13\%$

Step3: Calculate relative frequency for grade B

Relative frequency of B = $\frac{12}{39}\times100\%\approx 30.77\%$

Step4: Calculate relative frequency for grade C

Relative frequency of C = $\frac{18}{39}\times100\%\approx 46.15\%$

Step5: Calculate relative frequency for grade D

Relative frequency of D = $\frac{4}{39}\times100\%\approx 10.26\%$

Step6: Calculate relative frequency for grade F

Relative frequency of F = $\frac{3}{39}\times100\%\approx 7.69\%$

Answer:

A. 5.13%
B. 30.77%
C. 46.15%
D. 10.26%
F. 7.69%