Question

Find the mean of all factors of 10.

Answer 1

Hint: To find the mean of all factors of 10, we will write down the factors of 10. Factors of 10 are 1,2,5,10. We can use the formula $\text{Mean}={\displaystyle \frac{\text{Sum of the terms}}{\text{Number of terms}}}$ to find the mean. When substituting the values in this formula, we will get the required answer.

Complete step-by-step answer:
We have to find the mean of all factors of 10. Let us see what is meant by factors of a number.
Factors of a number are defined as the number which can be multiplied to get the original number. By multiplying two factors of a number, we will get a product, which is equal to the original number. Factors of any number can be either positive or negative.
Now, let us find the factors of 10. We can see that 10 can obtained as below:
$\begin{array}{rl}& 10=10\times 1\\ & 10=2\times 5\end{array}$
Hence, we can write the factors of 10 as 1,2,5,10.
Now, let’s find the mean of the factors of 10.
We know that, mean is given as
$\text{Mean}={\displaystyle \frac{\text{Sum of the terms}}{\text{Number of terms}}}$
We know that there are 4 factors of 10. Hence, when we substitute the values in the above formula, we will get
$\text{Mean}={\displaystyle \frac{1+2+5+10}{\text{4}}}$
When we add the terms in numerator, we will get
$\text{Mean}={\displaystyle \frac{18}{\text{4}}}=4.5$
Hence, the mean of factors of 10 is 4.5.

Note: You may mix up the concept of factors and multiples. Multiples of a number are all the numbers that are products of the number and any other integer. For example, multiples of 10 are $10,20,30,40,...$ . You may make errors when writing the formula of mean as $\text{Mean}={\displaystyle \frac{\text{Number of terms}}{\text{Sum of the terms}}}$ .