Question

Find the mean of all factors of 10.

Answer 1

The mean is the average of the numbers. Use this formula to calculate mean. $Mean(\overline{x})=\dfrac{Sum\,of\,all\,observations}{Total\,number\,of\,observations}$

Complete step-by-step answer:
As we all know that, a factor divides the number completely without leaving a remainder.
Since 1 is the factor of all numbers and the number is factor of itself
$\Rightarrow$ Factors of $10=1,2,5,10$
Only these numbers completely divide the $10$
Let the factors be ${{x}_{i}}$

& {{x}_{1}}=1 \\\ & {{x}_{2}}=2 \\\ & {{x}_{3}}=5 \\\ & {{x}_{4}}=10 \\\ \end{aligned}$$ $$\Rightarrow $$ The total number of factors are $$4$$ Now we will calculate the Mean $$(\overline{x})$$: $$Mean(\overline{x})=\dfrac{{{x}_{1}}+{{x}_{2}}+{{x}_{3}}+{{x}_{4}}}{4}=\dfrac{1+2+5+10}{4}=\dfrac{18}{4}=4.5$$ Thus we have calculated the mean the of all factors of 10 **Hence, the $$Mean(\overline{x})=4.5$$** **Note:** For a data set, the arithmetic mean, also called the expected value pr average is the central value of a discrete set of numbers: specifically, the sum of the values divided by the number of values.