Calculating Number of Classes

Question

In a frequency distribution with equal class intervals, the number of classes can be calculated by dividing the Range by:

Select an answer

In a frequency distribution with equal class intervals, the number of classes can be calculated by dividing the Range by:

  1. Total frequency
  2. Class mark
  3. Size of class intervals — Correct Answer
  4. Number of observations
Explanation:
Correct Answer Explanation

Number of classes = Range ÷ Size of Class Intervals (for equal sized class intervals).

Key Formula:
  • Range = Largest value − Smallest value
  • Number of classes = Range / Class interval
  • Example: Range = 100 (marks 0 to 100), Class interval = 10 → Classes = 100/10 = 10
Key Points:
  • The number of classes and the class interval are interlinked — we cannot decide one without the other.
  • Recommended number of classes: 6 to 15.

📚 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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