Question

a frequency distribution table using data. this list of 16 random numbers has been sorted: 20 21 22 24 30 36 39 42 44 45 46 49 49 54 55 58. fill in this table with the frequencies as whole numbers and the relative frequencies as decimals with 4 decimal places for the relative frequencies. remember: relative frequencies are between 0.0 and 1.0 (do not write relative frequencies as percents). (this problem does not accept fractions.) class frequency rel.freq 20 - 29 30 - 39 40 - 49 50 - 59

Explanation:

Step1: Count frequencies

For 20 - 29: 3 (20, 21, 22).
For 30 - 39: 3 (30, 36, 39).
For 40 - 49: 6 (42, 44, 45, 46, 49, 49).
For 50 - 59: 4 (54, 55, 58).

Step2: Calculate relative frequencies

Total data points = 16.
Relative frequency for 20 - 29: $\frac{3}{16}= 0.1875$.
Relative frequency for 30 - 39: $\frac{3}{16}= 0.1875$.
Relative frequency for 40 - 49: $\frac{6}{16}= 0.3750$.
Relative frequency for 50 - 59: $\frac{4}{16}= 0.2500$.

Answer:

Class	Frequency	Rel.Freq
30 - 39	3	0.1875
40 - 49	6	0.3750
50 - 59	4	0.2500