AgesNumber of students

15-18

2

19-22

4

23-26

8

27-30

9

31-34

6

35-38

3

Based on the frequency distribution above, is 22.5 a:

Class boundary

Class width

Class midpoint

Upper class limit

Lower class limit

To analyze whether 22.5 is a class boundary, class width, class midpoint, upper class limit, or lower class limit, we need to understand these terms within the context of frequency distributions:

- **Class boundaries**: These are the values that separate one class from another. They are usually calculated by taking the average of the upper limit of one class and the lower limit of the next class.
- **Class width**: This is the difference between the lower (or upper) boundaries of consecutive classes.
- **Class midpoint**: This is the average of the lower and upper class limits for a particular class.
- **Upper class limit**: The highest value that can belong to a class.
- **Lower class limit**: The lowest value that can belong to a class.

Let's calculate each for the class "19-22":

- **Lower class limit**: 19
- **Upper class limit**: 22
- **Class midpoint**: (19 + 22) / 2 = 20.5
- **Class boundaries**: The boundary between the class 19-22 and 23-26 is the average of 22 (upper limit of the first class) and 23 (lower limit of the next class), which is (22 + 23) / 2 = 22.5.

Therefore, **22.5 is a class boundary**.

Would you like further details or have any questions?

Here are 5 related questions to consider:
1. How do you calculate the class width in a frequency distribution?
2. What is the significance of class boundaries in statistical analysis?
3. Can you explain how to calculate class midpoints for all classes?
4. How do class limits differ from class boundaries?
5. Why is it important to understand class intervals in frequency distributions?

**Tip**: When working with grouped data, always double-check the class limits and boundaries to ensure accuracy in calculations.

Based on the frequency distribution: 
Ages - Number of students
15-18 - 2
19-22 - 4
23-26 - 8
27-30 - 9
31-34 - 6
35-38 - 3
Is 22.5 a class boundary, class width, class midpoint, upper class limit, or lower class limit?

Explore whether 22.5 is a class boundary, class width, class midpoint, upper class limit, or lower class limit in the context of a given frequency distribution. Learn key statistical concepts and formulas suitable for students in Grades 10-12.

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