The median of a set of 13 observations which | vedclass

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(D) For a set of $13$ observations arranged in decreasing order,the median is the $7^{th}$ observation.Let the observations be $x_1 \ge x_2 \ge \dots

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remains unchanged

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(D) For a set of $13$ observations arranged in decreasing order,the median is the $7^{th}$ observation.Let the observations be $x_1 \ge x_2 \ge \dots \ge x_7 \ge \dots \ge x_{13}$.The median is $x_7 = 18.6$.When the first two observations $(x_1, x_2)$ are increased and the last three observations $(x_{11}, x_{12}, x_{13})$ are decreased,the relative order of the $7^{th}$ observation remains unaffected because the changes occur at the extreme ends of the sorted list.Since the $7^{th}$ observation remains the same,the median remains unchanged.

The median of a set of $13$ observations which are in decreasing order is $18.6$. If the first two observations are increased by $1$ and the last three observations are decreased by $5$,then the median of the set of new observations is-

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