Direction: In the following questions, a statement of assertion is followed by a statement of reason. Mark the correct choice.
a. Both assertion and reason are true and Reason is the correct explanation of Assertion.
b. Both assertion and reason are true but reason is not the correct explanation of Assertion.
c. Assertion is true but reason is false.
d. Assertion is false but reason is true.
Assertion: The arithmetic mean of the following given frequency distribution table is 13.81 .
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline \( \mathbf{x} \) & 4 & 7 & 10 & 13 & 16 & 19 \\
\hline \( \mathbf{f} \) & 7 & 10 & 15 & 20 & 25 & 30 \\
\hline
\end{tabular}
Reason : \( \bar{x}= \) value of \( \left(\frac{\mathrm{n}+1}{2}\right)^{\text {th }} \) observation.
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