Question

What is the mean and mode of first $10$ composite numbers?

Answer 1

Determine the mean and mode of the first $10$ composite numbers.

Composite numbers are the whole numbers that have more than two factors.

Except for $2$, all even integers are composite numbers.

Here, first ten composite numbers are: $4,6,8,9,10,12,14,15,16,18$.

The ratio of the sum of observations to the total number of observations is known as the mean.

Now, calculate the mean:

$\begin{array}{rcl}\mathrm{Mean}& =& \frac{4+6+8+9+10+12+14+15+16+18}{10}\\ & \Rightarrow & \mathrm{Mean}=\frac{112}{10}\\ & \Rightarrow & \mathrm{Mean}=11.2\end{array}$

There is no mode because all of the numbers appear only once and there is no repetition.

Hence, the mean is $11.2$ and there is no mode.