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Mathematics · JEE | STATISTICS

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The value of the mean obtained using the assumed mean method or step-deviation method is identical to that obtained by the direct method. Reason (R): Arithmetic mean is independent of any change of scale and origin of observations. In the light of the above statements, choose the correct answer from the options given below:

  1. A
    Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. B
    Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. C
    (A) is true but (R) is false.
  4. D
    (A) is false but (R) is true.
View Answer & Solution

Correct answer · Option C

(A) is true but (R) is false.

Explanation

Assertion (A) is true because all methods yield the same mean. Reason (R) is false because mean is affected by scale change (multiplication by h) and origin change (addition of a).
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