MCQ
The mean of first $10$ natural number is:
  • A
    $\frac{5}{2}$
  • $\frac{11}{2}$
  • C
    $\frac{13}{2}$
  • D
    ${5}$

Answer

Correct option: B.
$\frac{11}{2}$

We know that Mean $ = \frac{\text{sum of observations}}{\text{total numer of observations}}$
$\therefore$ Mean of $10$ natural numbers $ = \frac{\text{sum of 10 natural number}}{10}$
We know that the sum of $′n′$ natural numbers $ = \frac{\text{n}{(\text{n+1})}}{2}$
$\therefore$ Sum of $10$ natural numbers $ = \frac{{10}\times{11}}{2} = {55}$
Mean of natural numbers $ = \frac{55}{10} = \frac{11}{2}$

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