Question

Find the mean of the first six odd natural numbers.

Answer 1

Hint: In this question we are asked to find the mean of first six odd natural numbers so we will first find the sum of six odd natural numbers and then we will divide this sum by six since we are asked for the mean of six odd natural numbers.

Complete step-by-step answer:
We are asked to find the mean of odd natural number so we will first find the six odd natural numbers and since these numbers are not divisible by 2 then these numbers can be
N= {1, 3, 5, 7, 9, 11}
Now we will find the sum of these odd natural numbers, hence we get sum
\[\Rightarrow S = 1 + 3 + 5 + 7 + 9 + 11 = 36\]
Now since the mean of natural numbers is the ratio of the sum of natural numbers by total numbers so we can write the mean of these six odd natural numbers whose sum is equal to 36 as
\[\Rightarrow Mean = \dfrac{{36}}{6} = 6\]
Hence, the mean of first six odd natural numbers\[ = 6\]
So, the correct answer is “6”.

Note: All natural numbers which are not perfectly divisible by 2 or are not the multiple of 2 are known as odd natural numbers whereas the numbers which are divisible by 2 perfectly without leaving a remainder are known as even natural numbers. Mean of the numbers is the average of the numbers. Mathematically, the mean of ‘n’ numbers is the ratio of the sum of the n numbers by the total n numbers.