Multiple choice

If mean & median of an asymmetrical distribution are $58$ & $ 61 $respectively, then Mode $= 67$.

  1. Both Assertion &. Reason are individually true & Reason is correct explanation of Assertion.

  2. Both Assertion & Reason are individually true but Reason is not the correct (proper) explanation of Assertion.

  3. Assertion is true Reason is false.

  4. Assertion is false Reason is true.
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A Correct answer
AI explanation

Using the empirical relationship formula Mode = 3 Median - 2 Mean, we substitute the given mean of 58 and median of 61 to find the mode. This calculates to 3(61) - 2(58) = 183 - 116 = 67. The calculated mode perfectly matches the assertion, so both the assertion and reason are individually true and the reason correctly explains the assertion.

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