Dear student Observations in ascending order are as follows:14,19,23,38,40,x-2,x+2,62,68,74,85,93Number of observation =n=12even numberMedian=n2th observation+n2+1th observation2⇒53=122th observation+122+1th observation2⇒53=6th observation+7th observation2⇒53=x-2+x+22⇒106=2x⇒x=53 Regards

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Observations in ascending order are as follows : 14, 19, 23, 38, 40, x - 2, x + 2, 62, 68, 74, 85, 93 Number of observation = n = 12 (even number) Median = \frac{{(\frac{n}{2})}^{th} observation + {(\frac{n}{2} + 1)}^{th} observation}{2} \Rightarrow 53 = \frac{{(\frac{12}{2})}^{th} observation + {(\frac{12}{2} + 1)}^{th} observation}{2} \Rightarrow 53 = \frac{6^{th} observation + 7^{th} observation}{2} \Rightarrow 53 = \frac{x - 2 + x + 2}{2} \Rightarrow 106 = 2 x \Rightarrow x = 53

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