Question:

The class intervals in a grouped frequency distribution should be:
A. Exhaustive
B. Mutually exclusive
Select the correct answer from the following options:

Show Hint

Exam Tip:
Class intervals must be:
• Exhaustive (cover all values).
• Mutually exclusive (no overlap).
• Equal width is preferred but not mandatory.
  • A only
  • B only
  • Neither A nor B
  • Both A and B
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
In a grouped frequency distribution, class intervals must be properly defined to ensure each observation falls into exactly one class.

Step 2: Key Requirements:


Exhaustive: The classes must cover all possible values of the variable.
Mutually exclusive: Each observation must belong to exactly one class (no overlap).

Step 3: Analyzing the Options:


(A) A only: Incomplete.
(B) B only: Incomplete.
(C) Neither A nor B: False.
(D) Both A and B: Correct.

Step 4: Final Answer:

Therefore, option (D) is correct.
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