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If a frequency distribution for the number of persons x in household is perpared with class intervals `(1-4),(5-8),(9,12)` etc, then the number of persons x belonging to class interval `(5-8)` satisfies.

A

`5ltxlt8`

B

`5lexlt8`

C

`5ltxle8`

D

`5lexle8`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the frequency distribution of the number of persons \( x \) in households, we need to analyze the class intervals provided and determine the values that belong to the class interval \( (5-8) \). ### Step-by-Step Solution: 1. **Identify the Class Intervals**: The class intervals given are: - \( (1-4) \) - \( (5-8) \) - \( (9-12) \) - etc. 2. **Determine the Range of the Class Interval \( (5-8) \)**: The class interval \( (5-8) \) includes all integer values from 5 to 8. This means: - The lower limit is 5. - The upper limit is 8. 3. **List the Values in the Class Interval \( (5-8) \)**: The values that belong to the class interval \( (5-8) \) are: - 5 - 6 - 7 - 8 4. **Conclusion**: Since the question asks for the number of persons \( x \) that belong to the class interval \( (5-8) \), we conclude that the values satisfying this condition are 5, 6, 7, and 8. ### Final Answer: The number of persons \( x \) belonging to the class interval \( (5-8) \) satisfies: - \( x \) can be 5, 6, 7, or 8.
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