Question

Find the mean of the first ten natural numbers.

Answer 1

Hint: We have to find the mean of ten natural numbers. Firstly we have to find the sum of the first ten natural numbers. The sum of \[n\] natural number is given by the formula \[\dfrac{{n(n + 1)}}{2}\]
So we just change \[n\] by 10 and we will get the sum of \[10\] natural numbers. After that we divide the sum by the total number of terms that is by 10. We will get the mean of 10 natural numbers.

Complete step-by-step answer:
 The first ten natural numbers are \[1,2,3....,10\]. We have to find the mean of the natural numbers. Firstly we calculate the sum of the natural number.
The sum of \[n\] \[ - \] natural number is equal to \[\dfrac{{n(n + 1)}}{2}\]
So taking \[n\]equal to \[10\].
The sum of \[10\]natural number equals to
 \[ \Rightarrow \dfrac{{10(10 + 1)}}{2} = \dfrac{{10*11}}{2}\]
\[ \Rightarrow \dfrac{{110}}{2} = 55\]
Sum of \[10\] natural numbers \[ = 55\]
Now we calculate the mean of the \[10\] natural number.
Mean of the numbers \[ = \dfrac{{{\text{sum of the numbers}}}}{{{\text{Total numbers}}}}\]
\[ = \dfrac{{55}}{{10}} = 5.5\]
So mean of first \[10\] natural numbers is \[5.5\]

Note: Natural numbers are those numbers which are used for counting. It starts from \[1\] and goes up to infinity. These numbers are also used for ordering . The word used for ordering is called ordinal number.
All natural numbers are also called positive numbers. Natural numbers do not include negative numbers.