Question

a list of 16 random numbers is given in the table below. use the frequency distribution tool to generate the frequency and relative frequency distributions for this data.
23 24 25 27 32 33 35 36
38 39 42 42 44 47 47 52
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distribution of randomly generated data
class frequency relative frequency
20 - 29
30 - 39
40 - 49
50 - 59
below is the frequency distribution tool for your convenience.

Explanation:

Step1: Count data in 20 - 29

The numbers in the range 20 - 29 are 23, 24, 25, 27. So the frequency $f_1 = 4$. The relative frequency $rf_1=\frac{4}{16}= 0.25$.

Step2: Count data in 30 - 39

The numbers in the range 30 - 39 are 32, 33, 35, 36, 38, 39. So the frequency $f_2 = 6$. The relative frequency $rf_2=\frac{6}{16}=0.375$.

Step3: Count data in 40 - 49

The numbers in the range 40 - 49 are 42, 42, 44, 47, 47. So the frequency $f_3 = 5$. The relative frequency $rf_3=\frac{5}{16}=0.3125$.

Step4: Count data in 50 - 59

The number in the range 50 - 59 is 52. So the frequency $f_4 = 1$. The relative frequency $rf_4=\frac{1}{16}=0.0625$.

Answer:

Class	Frequency	Relative Frequency
30 - 39	6	0.375
40 - 49	5	0.3125
50 - 59	1	0.0625