Question

find the frequencies and the relative frequencies. round the relative frequency values to three decimal places. class limits class boundaries frequency relative frequency 14 - 20 13.5 - 20.5 3 21 - 27 20.5 - 27.5 5 28 - 34 27.5 - 34.5 6 35 - 41 34.5 - 41.5 8 42 - 48 41.5 - 48.5 15 49 - 55 48.5 - 55.5 0 0.000 56 - 62 55.5 - 62.5 1 total = 38 total = 1.000

Explanation:

Step1: Calculate total frequency

Total frequency = 3 + 5 + 6 + 8 + 15 + 0 + 1 = 38

Step2: Compute relative frequency for 14-20

Relative frequency = 3/38 ≈ 0.079

Step3: Compute relative frequency for 21-27

Relative frequency = 5/38 ≈ 0.132

Step4: Compute relative frequency for 28-34

Relative frequency = 6/38 ≈ 0.158

Step5: Compute relative frequency for 35-41

Relative frequency = 8/38 ≈ 0.211

Step6: Compute relative frequency for 42-48

Relative frequency = 15/38 ≈ 0.395

Step7: Compute relative frequency for 56-62

Relative frequency = 1/38 ≈ 0.026

Answer:

14-20: 0.079, 21-27: 0.132, 28-34: 0.158, 35-41: 0.211, 42-48: 0.395, 56-62: 0.026