Question

The average of all the perfect squares up to $100$is?

Answer 1

Step 1: Find the sum of the numbers :

We have,

The perfect square numbers from $1$to$100$ are,$1,4,9,16,25,36,49,64,81$and$100$

So,
The sum of these numbers is given by $1+4+9+16+25+36+49+64+81+100=385.$

Step 2: find the average :
Thus, The average of all the perfect square numbers from $1$ to $100$is
$\begin{array}{rcl}Average& =& \frac{totalsum}{totalnumbers}\\ & =& \frac{385}{10}\\ & =& 38.5\end{array}$

Hence, The average of all the perfect square numbers from $1$ to $100$is$38.5$