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Mathematics · JEE | STATISTICS

हिन्दी

Given below are two statements: Statement I: The modal class is always the class interval with the highest frequency in a grouped frequency distribution. Statement II: The mode of a grouped data can never be less than the lower limit of the modal class. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. A
    Both Statement I and Statement II are correct.
  2. B
    Both Statement I and Statement II are incorrect.
  3. C
    Statement I is correct but Statement II is incorrect.
  4. D
    Statement I is incorrect but Statement II is correct.
View Answer & Solution

Correct answer · Option A

Both Statement I and Statement II are correct.

Explanation

Both statements are correct by definition: modal class has maximum frequency, and the mode formula adds a positive fraction of class width to the lower limit \( l \), so mode is never less than \( l \).
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