Question

The mean of first 726 natural numbers is 363.5. If true then enter $1$ and if false then enter $0$.

• A. 0
• B. 1
• C. Can't determine
• D. None of these

Answer 1

The correct option is B 1

First 726 natural numbers = $1,2,3,\mathrm{4....726}$
Sum of 726 numbers = $1+2+3+4...726$
This forms an AP, with first term = $1$, last term= $726$ and number of terms = $1$
Sum of AP = $\frac{n}{2}(a+l)$

Sum of AP = $\frac{726}{2}(1+726)$

Sum of AP = $263901$

mean = $\frac{Sum}{numberofterms}$ = $\frac{263901}{726}=363.5$