Explanation
$$\textbf{Step -1: Find the sum of first six natural numbers.}$$
$$\text{The first six natural numbers are }1,2,3,4,5,6$$
$$\text{Sum of these observations}=1+2+3+4+5+6$$
$$=21$$
$$\textbf{Step -2: Find the mean of first six natural numbers.}$$
$$\text{Here, number of observations}=6$$
$$\mathbf{\because\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}.}$$
$$\therefore\text{Mean of first six natural numbers}=\dfrac{21}{6}$$
$$=3.5$$
$$\textbf{Final Answer: Hence, the correct option is B.}$$
$${\textbf{Step - 1: Listing first 10 odd natural numbers}}$$
$${\text{First 10 odd natural numbers = 1, 3, 5, 7, 9, 11, 13, 15, 17, 19}}$$
$${\textbf{Step - 2: Calculating mean}}$$
$${\text{We know that, mean of n numbers = }}\dfrac{{{\text{Sum of n numbers}}}}{{\text{n}}}$$
$$\therefore {\text{ Mean of first 10 odd natural numbers,}}$$
$${\text{M = }}\dfrac{{{\text{1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19}}}}{{{\text{10}}}}$$
$$ \Rightarrow {\text{ M = }}\dfrac{{{\text{100}}}}{{{\text{10}}}}{\text{ = 10}}$$
$${\textbf{Thus, the mean of first 10 odd natural numbers is 10}}$$
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