Question

Find the average of squares of first five natural numbers.

• A. 8
• B. 10
• C. 11
• D. 5

Answer 1

The Correct Option is C

To find the average of the squares of the first five natural numbers, we follow these steps:

1. List the first five natural numbers: \(1, 2, 3, 4, 5\).
2. Calculate the square of each number:
   • \(1^2 = 1\)
   • \(2^2 = 4\)
   • \(3^2 = 9\)
   • \(4^2 = 16\)
   • \(5^2 = 25\)
3. Sum the squares: \(1 + 4 + 9 + 16 + 25 = 55\).
4. Calculate the average by dividing the sum of squares by the number of terms: \(\frac{55}{5} = 11\).

Thus, the average of squares of the first five natural numbers is \(11\).