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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The mean of three length measurements 4.2 cm , 4.5 cm , and 4.4 cm is correctly reported as 4.4 cm . Reason (R): The integer 3 used for division is an exact number with infinite significant figures, so the decimal places in the final result are determined by the addition rule applied to the origina

Options

  1. ABoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
  2. BBoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  3. CAssertion (A) is true but Reason (R) is false.
  4. DAssertion (A) is false but Reason (R) is true.

Correct answer

B. Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).

Step-by-step solution

Assertion (A) is true: The sum of the measurements is 4.2 cm + 4.5 cm + 4.4 cm = 13.1 cm . The raw mean is 13.1 3 = 4.366... cm . Since the original measurements have one decimal place, the mean should also be rounded to one decimal place. Rounding 4.366... to one decimal place gives 4.4 cm . Reason (R) is true and correctly explains the Assertion: When calculating an average, the number of observations (3) is an exact number with infinite significant figures. Therefore, it does not restrict the precision of the re

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