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A class interval has class mark 27 and class size 8. Which interval is it?

Class 9StatisticsStatistics and Probability
  • A23–31
  • B27–35
  • C19–35
  • D23–27

Step-by-Step Solution

Half the class size is . Lower limit = 27 − 4 = 23 and upper limit = 27 + 4 = 31, so the interval is 23–31. Check: .
Answer: A) 23–31

Key idea: Class intervals and class marks

When data has many distinct values (like heights or weights), group it into **class intervals**.

Example table:
| Class interval | Frequency |
|---|---|
| 0–10 | 5 |
| 10–20 | 8 |
| 20–30 | 4 |

**Class mark** of an interval = (lower limit + upper limit) / 2.
For 0–10: mark = 5. For 10–20: mark = 15.

**Inclusive vs exclusive intervals**:
- Exclusive (continuous) form like 0–10, 10–20: 10 belongs to the SECOND interval, not the first.
- Inclusive form 0–9, 10–19: rare in modern textbooks — convert to continuous form (subtract 0.5 from lower, add 0.5 to upper) before drawing histograms.

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