a frequency table of grades has five classes (a, b, c, d, f) with frequencies of 5, 14, 18, 6, and 3…
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)
Answer
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 |
|---|---|---|
| A | 5 | 10.87% |
| B | 14 | 30.43% |
| C | 18 | 39.13% |
| D | 6 | 13.04% |
| F | 3 | 6.52% |