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 4
30 - 39 6
40 - 49 5
50 - 59 1
below is the frequency distribution tool for your convenience.

Explanation:

Step1: Recall relative - frequency formula

Relative frequency = $\frac{\text{Frequency}}{\text{Total number of data points}}$
The total number of data points is $n = 16$.

Step2: Calculate relative frequency for 20 - 29 class

For the class 20 - 29, frequency $f_1=4$. Relative frequency $r_1=\frac{4}{16}=0.25$

Step3: Calculate relative frequency for 30 - 39 class

For the class 30 - 39, frequency $f_2 = 6$. Relative frequency $r_2=\frac{6}{16}=0.375$

Step4: Calculate relative frequency for 40 - 49 class

For the class 40 - 49, frequency $f_3 = 5$. Relative frequency $r_3=\frac{5}{16}=0.3125$

Step5: Calculate relative frequency for 50 - 59 class

For the class 50 - 59, frequency $f_4 = 1$. Relative frequency $r_4=\frac{1}{16}=0.0625$

Answer:

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