Question 52

What is the average of the squares of the first five natural numbers?

Solution

The first five natural numbers are 1, 2, 3, 4 and 5.

Average of the squares of the first five natural numbers = $$\frac{1^2+2^2+3^2+4^2+5^2}{5}$$

= $$\frac{1+4+9+16+25}{5}$$

= $$\frac{55}{5}$$

= 11

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