To prepare a frequency distribution with a class interval of 10 for the given dataset, let's follow these steps:

Step 1: Organize the Data

Given dataTo prepare a frequency distribution with a class interval of 10 for the given dataset, let's follow these steps:

Step 1: Organize the Data

Given 8, 2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14

Step 2: Determine the Range and Class Intervals

• Smallest value (Minimum): 2
• Largest value (Maximum): 21
• Range: $21 - 2 = 19$

With a class interval of 10, we can start the first class from 0, which covers up to 9. Let's define the class intervals:

1. 0 - 9
2. 10 - 19
3. 20 - 29

Step 3: Tally and Count the Frequencies

Class Interval	Tally	Frequency
0 - 9
10 - 19
20 - 29

Step 4: Frequency Distribution Table

Class Interval	Frequency
0 - 9	4
10 - 19	7
20 - 29	1

Explanation:

• 0 - 9: Contains the values 2, 6, 8 (4 entries in total).
• 10 - 19: Contains the values 10, 10, 11, 14, 14, 16, 17 (7 entries).
• 20 - 29: Contains the value 21 (1 entry).

Would you like more details or have any questions?

Related Questions:

1. How do you determine the range and number of classes in a frequency distribution?
2. What is the significance of choosing appropriate class intervals?
3. Can you explain how to calculate the cumulative frequency?
4. What are the differences between frequency distribution and cumulative frequency distribution?
5. How can we represent this data graphically using a histogram?

Tip:

When creating a frequency distribution, always ensure that class intervals are mutually exclusive and exhaustive, covering the entire data set without overlapping.