To calculate the frequency, relative frequency, and percent frequency, we first need to organize the given data into "classes" or intervals.

Step 1: Organize the data into classes

Let’s assume the classes represent specific intervals of numbers, which will help in calculating the frequency distributions. From the data, the smallest number is 12, and the largest is 26. A reasonable way to divide these numbers is into 5 equal classes.

We can define the classes like this:

• Class 1: 12–14
• Class 2: 15–17
• Class 3: 18–20
• Class 4: 21–23
• Class 5: 24–26

Step 2: Calculate the Frequency for each class

Go through the dataset and count how many numbers fall within each class.

• Class 1 (12–14): {12}
  • Frequency = 1
• Class 2 (15–17): {16, 16, 16, 16, 15, 16}
  • Frequency = 6
• Class 3 (18–20): {19, 19, 19, 18, 19, 19, 20, 19, 20}
  • Frequency = 9
• Class 4 (21–23): {21, 23, 21, 22, 23, 22, 22}
  • Frequency = 7
• Class 5 (24–26): {24, 24, 25, 25, 24, 24, 26, 25, 24}
  • Frequency = 9

Step 3: Calculate the Relative Frequency

Relative frequency is the frequency of each class divided by the total number of data points. The total number of data points is:

$1 + 6 + 9 + 7 + 9 = 32$

Now calculate the relative frequency for each class:

• Class 1: $\frac{1}{32} = 0.031$
• Class 2: $\frac{6}{32} = 0.188$
• Class 3: $\frac{9}{32} = 0.281$
• Class 4: $\frac{7}{32} = 0.219$
• Class 5: $\frac{9}{32} = 0.281$

Step 4: Calculate the Percent Frequency

Percent frequency is the relative frequency multiplied by 100. Round to one decimal place:

• Class 1: $0.031 \times 100 = 3.1\%$
• Class 2: $0.188 \times 100 = 18.8\%$
• Class 3: $0.281 \times 100 = 28.1\%$
• Class 4: $0.219 \times 100 = 21.9\%$
• Class 5: $0.281 \times 100 = 28.1\%$

Summary Table

Class	Frequency	Relative Frequency	Percent Frequency
12–14	1	0.031	3.1%
15–17	6	0.188	18.8%
18–20	9	0.281	28.1%
21–23	7	0.219	21.9%
24–26	9	0.281	28.1%
Total	32	1.000	100%

Would you like more details on how these values were computed or help with another part of the data?

Here are five related questions:

1. How do you decide the number of classes in frequency distribution?
2. What is the difference between relative and cumulative frequency?
3. How does the choice of class intervals affect the shape of a frequency distribution?
4. Can this frequency table be visualized using a histogram?
5. What is the significance of relative frequency in data analysis?

Tip: When defining class intervals, ensure that the range includes the smallest and largest data values to avoid missing any data points.