Problem with Equal Intervals for High-Range Income Data

Question

In the context of a frequency distribution, what would happen if equal class intervals are used for income data that ranges from nearly zero to hundreds of crores?

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In the context of a frequency distribution, what would happen if equal class intervals are used for income data that ranges from nearly zero to hundreds of crores?

  1. The distribution would have exactly 10 classes
  2. Either too many classes (with moderate intervals) or suppression of information on extreme income levels (with large intervals) — Correct Answer
  3. The distribution would be perfect with no issues
  4. Only 6 classes would be created automatically
Explanation:
Correct Answer Explanation

For high-range income data with equal class intervals: (i) moderate-sized equal intervals → too many classes, (ii) large equal intervals → suppresses information on very small or very high income levels.

Key Points:
  • Income per day may range from nearly zero to hundreds of crores of rupees.
  • Solution: Use unequal class intervals — narrow intervals for low-income concentrations, wider intervals for sparse high-income levels.
  • This is the first of two situations where unequal class intervals are appropriate.

📚 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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