Consider the following statements in respect of class intervals of grouped frequency distribution.
1 Class intervals need not be mutually exclusive.
2.Class intervals should be exhaustive
3.Class intervals need not be of equal width Which of the above statements are correct

Options

A. Both 1 and 2
B. Both 2 and 3
C. Both 1 and 3
D. 1, 2 and 3

Answer

To solve the question regarding the correctness of the statements about class intervals in a grouped frequency distribution, we will analyze each statement one by one.

### Step-by-Step Solution:

1. **Analyze Statement 1: "Class intervals need not be mutually exclusive."**
- Class intervals must be mutually exclusive, meaning that each data point should belong to only one class interval. If intervals overlap, a data point could be counted in more than one interval, which would lead to inaccurate frequency counts.
- **Conclusion**: This statement is **incorrect**.

2. **Analyze Statement 2: "Class intervals should be exhaustive."**
- Class intervals should cover all possible values in the dataset. This means that every possible data point must fall into one of the class intervals, ensuring that there are no gaps in the data representation.
- **Conclusion**: This statement is **correct**.

3. **Analyze Statement 3: "Class intervals need not be of equal width."**
- Class intervals can be of varying widths. It is not a requirement for all intervals to have the same width, allowing for flexibility in how data is grouped based on the distribution of the dataset.
- **Conclusion**: This statement is **correct**.

### Final Conclusion:
- The correct statements are **2 and 3**. Therefore, the answer is that both statements 2 and 3 are correct.