Step - 1: Listing first 10 odd natural numbers {\textbf{Step - 1: Listing first 10 odd natural numbers}} Step - 1: Listing first 10 odd natural numbers
First 10 odd natural numbers = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 {\text{First 10 odd natural numbers = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19}} First 10 odd natural numbers = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19
Step - 2: Calculating mean {\textbf{Step - 2: Calculating mean}} Step - 2: Calculating mean
We know that, mean of n numbers = Sum of n numbers n {\text{We know that, mean of n numbers = }}\dfrac{{{\text{Sum of n numbers}}}}{{\text{n}}} We know that, mean of n numbers = n Sum of n numbers
∴ Mean of first 10 odd natural numbers, \therefore {\text{ Mean of first 10 odd natural numbers,}} ∴ Mean of first 10 odd natural numbers,
M = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 10 {\text{M = }}\dfrac{{{\text{1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19}}}}{{{\text{10}}}} M = 10 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19
⇒ M = 100 10 = 10 \Rightarrow {\text{ M = }}\dfrac{{{\text{100}}}}{{{\text{10}}}}{\text{ = 10}} ⇒ M = 10 100 = 10
Thus, the mean of first 10 odd natural numbers is 10 {\textbf{Thus, the mean of first 10 odd natural numbers is 10}} Thus, the mean of first 10 odd natural numbers is 10