_______ Series is continuous.
Options
AOpen ended
BExclusive
CClose ended
DUnequal class intervals
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Statistical Description of DataMTP Dec 22 Series IIQuestion 2749 of 295
All Questions Correct Answer
✅ Option b — Exclusive
All Options:
- AOpen ended
- BExclusive
- CClose ended
- DUnequal class intervals
Detailed Solution & Explanation
In frequency distributions, class intervals can be written in two ways:
1. **Inclusive Series**: The upper limit of a class is not equal to the lower limit of the next class (e.g., ). This introduces gaps between classes, making the series discontinuous.
2. **Exclusive Series**: The upper limit of a class is exactly equal to the lower limit of the succeeding class (e.g., ). Here, the value equal to the upper limit is excluded from that class and included in the next class. Because the class boundaries are contiguous with no gaps, the **Exclusive series** is continuous.
- Open-ended or close-ended series refer to whether the boundary limits of the first and last classes are specified, and they do not define continuity.
- Unequal class intervals do not guarantee continuity unless they are structured in an exclusive format.
Thus, the Exclusive series is continuous.
Hence, **Option B** is the correct answer.
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