Question

Question 1. The average of first 50 natural numbers is …………. .
A. 25.30
B. 25.5
C. 25.00
D. 12.25

Answer 1

Answer:

The average of first 50 natural numbers is

B. 25.5

Answer 2

Answer:

$\large\bold\red{(B)\:25.5}$

Step-by-step explanation:

We have to find the average of first 50 natural numbers.

Now,

We know that,

• Average is equals to the sum of all numbers divided by total numbers.

Now,

We need to find the sum of first 50 natural numbers.

But,

We know that,

• Sum of first n natural numbers is given by $\frac{n(n+1)}{2}$

Therefore,

Sum of first 50 natural numbers is,

$= \frac{50(50 + 1)}{2} \\ \\ = \cancel \frac{50 \times 51}{2} \\ \\ = (25 \times 51)$

Now,

Total numbers = 50

Therefore,

We have average of the numbers,

$= \frac{25 \times 51}{50} \\ \\ = \cancel\frac{25}{50} \times 51 \\ \\ = \cancel \frac{51}{2} \\ \\ = 25.5$

Hence,

Option (B) is Correct answer.