Prepare a frequency distribution of the following data with class interval of 5 - 8,2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14 

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.

Prepare a frequency distribution of the following data with class interval of 5 - 8,2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14

Learn how to create a frequency distribution table with a class interval of 5. This step-by-step solution includes tallying data and constructing class intervals for the dataset: 5, 8, 2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14. Suitable for students in Grades 6-8.

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