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3 - 7, 8 - 12, 13 - 17, 18 - 22. Which of the...

Mathematics
NECO 2005

3 - 7, 8 - 12, 13 - 17, 18 - 22. Which of the following is/are true?
I. The class Interval is 4
II. The class boundaries are 2.5, 7.5, 12.5, 18.5, 22.5
III. The mid-marks are 5, 10, 15, and 20

  • A. I only
  • B. II only
  • C. III only
  • D. I and II only
  • E. I and III only
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Correct Answer: Option E
Explanation

Given the class intervals: \(3 - 7\), \(8 - 12\), \(13 - 17\), and \(18 - 22\):

The class interval is \(4\):

\(7 - 3 = 4 \quad \text{(True)}\)
Class boundaries are \(2.5, 7.5, 12.5, 18.5, 22.5\):

- Correct boundaries: \(2.5, 7.5, 12.5, 17.5, 22.5\)  False.
Mid-marks are \(5, 10, 15, 20\):

\(\text{Mid-mark} = \frac{\text{Lower} + \text{Upper}}{2}\)

- \(3 - 7: 5\)
- \(8 - 12: 10\)
- \(13 - 17: 15\)
- \(18 - 22: 20\) True.


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