a list of 16 random numbers is given in the table below. use the frequency distribution tool to generate the…

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.\n23 24 25 27 32 33 35 36\n38 39 42 42 44 47 47 52\ncopy data to clipboard\ndistribution of randomly generated data\nclass frequency relative frequency\n20 - 29 4\n30 - 39 6\n40 - 49 5\n50 - 59 1\nbelow is the frequency distribution tool for your convenience.
Answer
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 |
|---|---|---|
| 20 - 29 | 4 | 0.25 |
| 30 - 39 | 6 | 0.375 |
| 40 - 49 | 5 | 0.3125 |
| 50 - 59 | 1 | 0.0625 |