Question

a frequency table of grades has five classes (a, b, c, d, f) with frequencies of 5, 12, 17, 7, and 2 respectively. complete the table. grade frequency relative frequency a 5 % b 12 % c 17 % d 7 % f 2 % (round to two decimal places as needed.)

Explanation:

Step1: Calculate total frequency

$5 + 12+17 + 7+2=43$

Step2: Calculate relative frequency for grade A

Relative frequency of A = $\frac{5}{43}\times100\%\approx11.63\%$

Step3: Calculate relative frequency for grade B

Relative frequency of B = $\frac{12}{43}\times100\%\approx27.91\%$

Step4: Calculate relative frequency for grade C

Relative frequency of C = $\frac{17}{43}\times100\%\approx39.53\%$

Step5: Calculate relative frequency for grade D

Relative frequency of D = $\frac{7}{43}\times100\%\approx16.28\%$

Step6: Calculate relative frequency for grade F

Relative frequency of F = $\frac{2}{43}\times100\%\approx4.65\%$

Answer:

11.63%, 27.91%, 39.53%, 16.28%, 4.65%