The average of the squares of first ten natural numbers is…

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The average of the squares of first ten natural numbers is-

  1. A. 35.5
  2. B. 36
  3. C. 37.5
  4. D. 38.5

Answer: Option D

Here is complete explanation of The average of the squares of first ten natural numbers is….

Solution(By ExamCraze Team)

As we know that average of square of "n" natural number is
$$eqalign{ & = frac{{nleft( {n + 1} right)left( {2n + 1} right)}}{{6n}} cr & = frac{{left( {n + 1} right)left( {2n + 1} right)}}{6} cr} $$
According to the question,
Average of square of first ten natural number is
$$eqalign{ & = frac{{left( {10 + 1} right)left( {20 + 1} right)}}{6} cr & = frac{{11 times 21}}{6} cr & = 38.5 cr} $$

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