set s contains the following numbers 10, 14, 19, 27, 36, 49, 67, 70,94. It was found that Mark had inadvertently interchanged the digits of one of the numbers. Steve, in charge of statistics, rectified this error, and as a result mean and median were changed and the shift in mean was of 5.
Whats the number that was incorrectly noted?  Choose the correct answer
A) 36
B) 49
C) 94
D) 27
E) 41
Firstly the NEW median will be 27 or 49...   secondly the change in SUM will be   9*5= 
<gadget id="calculator">  9*5</gadget>
<output>45</output>
45, so the difference in number and in reversed order will be 45...   and the reversed NUMBER and actual number should be on either side of the MEDIAN 36..   lets see the choices on these points..   A. 36... reverse= 63 but 63−36≠4563−36≠45.... eliminate   B. 49... reverse = 94, and   94-49= 
<gadget id="calculator">  94-49</gadget>
<output>45</output>
45, BUT both 49 and 94 lie on the SAME side of 36, so no effect on MEDIAN... ELIMINATE   C. 94... SAME as B.. eliminate   D. 27.... reverse= 72.. 72-27 = 45.. yes and 27 is lesser than 36 and 72 is &gt;36 so median will shift to 49... CORRECT   E. 41.... reverse 14, but 41−14≠4541−14≠45.. eliminate   ANSWER:27
<result>D</result>
set s contains the following numbers 10, 14, 19, 27, 36, 49, 67, 70,94. It was found that Mark had inadvertently interchanged the digits of one of the numbers. Steve, in charge of statistics, rectified this error, and as a result mean and median were changed and the shift in mean was of 5.
Whats the number that was incorrectly noted?