To create a frequency distribution, we first need to define our class intervals and then count the number of values that fall into each interval. Given the dataTo create a frequency distribution, we first need to define our class intervals and then count the number of values that fall into each interval. Given the

Data Set: 5, 8, 2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14

Let's proceed with the following steps:

Step 1: Define Class Intervals

We are asked to use a class interval of size 5. To determine the intervals, we first identify the minimum (2) and maximum (21) values from the data. The intervals will be:

• 0 - 4
• 5 - 9
• 10 - 14
• 15 - 19
• 20 - 24

Step 2: Tally the Data into the Class Intervals

We now count how many values fall into each class interval:

• 0 - 4: 2
• 5 - 9: 5, 8, 6
• 10 - 14: 10, 11, 14, 10, 14
• 15 - 19: 18, 17, 16
• 20 - 24: 21

Step 3: Create the Frequency Distribution Table

Class Interval	Frequency
0 - 4	1
5 - 9	3
10 - 14	5
15 - 19	3
20 - 24	1

This table shows the frequency distribution for the given data with a class interval of 5.

Would you like to see details on how to construct class intervals, or do you have any questions?

Here are 5 related questions for further exploration:

1. How would the frequency distribution change if we used a class interval of size 3?
2. What is the cumulative frequency distribution for this data set?
3. How can we create a histogram based on this frequency distribution?
4. What is the mean of the given data set?
5. Can you calculate the mode of the frequency distribution?

Tip: Always ensure that class intervals are continuous and non-overlapping to avoid confusion during tallying.