The variance of first n natural numbers is –

2021

The variance of first n natural numbers is –

  1. A.

    (n+1​) / 2

  2. B.

    (n+1​)2 / 12

  3. C.

    (2n2-1​) / 8

  4. D.

    (n2-1​) / 12

Attempted by 20 students.

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Correct answer: D

The variance of the first n natural numbers is calculated using the formula (n² - 1) / 12.

This result is derived from the general variance formula applied to the sequence 1, 2, ..., n.

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