Class Interval Size for Marks Data

Question

For the marks data of 100 students (range 0–100), if we choose 10 equal class intervals, what is the class interval size?

Select an answer

For the marks data of 100 students (range 0–100), if we choose 10 equal class intervals, what is the class interval size?

  1. 5
  2. 10 — Correct Answer
  3. 20
  4. 100
Explanation:
Correct Answer Explanation

Class Interval = Range / Number of Classes = 100 / 10 = 10.

Key Calculation:
  • Range = 100 − 0 = 100
  • Number of classes = 10
  • Class interval = 100 / 10 = 10
  • Classes: 0–10, 10–20, 20–30, ..., 90–100
Interlinked Decisions:

If we choose class interval = 10, then number of classes = 100/10 = 10. If we choose interval = 20, classes = 100/20 = 5. These two decisions are always linked.

📚 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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