Class Mark of 40-45 in Unequal Distribution

Question

What is the class mark of the class 40–45 in the unequal class interval frequency distribution?

Select an answer

What is the class mark of the class 40–45 in the unequal class interval frequency distribution?

  1. 40
  2. 42.5 — Correct Answer
  3. 45
  4. 43
Explanation:
Correct Answer Explanation

Class Mark of 40–45 = (40 + 45) / 2 = 85 / 2 = 42.5.

Comparison — Old vs New Class Marks:
  • Old class 40–50 → Class Mark: 45
  • New class 40–45 → Class Mark: 42.5 (observations: 42, 44, 40, 44, 41, 40, 43, 40, 41 — mostly cluster around 42–43)
  • New class 45–50 → Class Mark: 47.5 (observations: 47, 49, 49, 45, 45, 47, 49, 46, 48, 48, 49, 49 — cluster around 47–49)

The split class marks are clearly more representative.

📚 About this Topic — CH-3: Organisation of Data

This multiple choice question is from CH-3: Organisation of Data, NCERT Books, Statistics for Economics. It has 4 options with a detailed explanation of the correct answer. Practice more MCQs from CH-3: Organisation of Data to strengthen your preparation.

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