Class for Value 40 in Exclusive Distribution

Question

The value 40 appears THREE times in the raw marks data. In which class interval does it get tallied?

Select an answer

The value 40 appears THREE times in the raw marks data. In which class interval does it get tallied?

  1. 30–40 (upper limit of this class)
  2. 40–50 (lower limit of this class) — Correct Answer
  3. Both 30–40 and 40–50 (shared equally)
  4. Neither class — it is excluded
Explanation:
Correct Answer Explanation

Value 40 is tallied in class 40–50 because in exclusive class intervals (upper limit excluded), 40 — being equal to the lower limit of 40–50 — belongs to this class.

Key Rule:
  • In the upper limit excluded convention: value equal to lower limit goes into THAT class (40 → 40–50).
  • That's why class 30–40 has only 7 values (NOT 9 or 10), because the three 40s go to 40–50.
  • This explains why the class 40–50 frequency is 21 (includes the three 40s).

📚 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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