If 9 points X1, X2, …, X9 are chosen on a straight line in that order (but not necessarily evenly spaced), and Y is an arbitrary point on the line and S is the sum of the distances YX1, YX2, …, YX9, then S is minimized when the point Y is

midway between X2 and X8

at X9

at X5

midway between X4 and X6

midway between X1 and X9

• at X5...as it is the middle of x1 and x9
  
• 12 years agoHelpfull: Yes(14) No(7)
• middle way btw x1 and x9
• 12 years agoHelpfull: Yes(5) No(3)
• at X=5, as the distance wiil be equal from either side of the points making it the minimum
  
• 12 years agoHelpfull: Yes(4) No(1)
• guys plz tell the exact ans...too much fluctuations!!
• 12 years agoHelpfull: Yes(2) No(0)
• i think at any point sum of distance will be the same.
  
• 12 years agoHelpfull: Yes(2) No(1)
• Midway between X1 AND x9.
• 12 years agoHelpfull: Yes(1) No(0)
• at x5 ....this is the mid point ....
• 12 years agoHelpfull: Yes(1) No(1)
• can any1 tell me d correct ans????
• 12 years agoHelpfull: Yes(1) No(0)
• at X9 BCOZ IT WL GIVE 9*Y-(X1+X2+......+X9)=0
• 12 years agoHelpfull: Yes(0) No(4)
• at x9 it will give total 0.
• 11 years agoHelpfull: Yes(0) No(0)
• X5
  ( mean deviation is least about the median )
  ( if n is odd then median = ((n+1)/2 ) th value of the arrangement (ascending or descending)
  If n is even then median =a.m. of the (n/2 ) th and( (n/2 ) +1)th value of the arrangement (ascending or descending)
  
  so,(9+1)/2=5th point.
• 9 years agoHelpfull: Yes(0) No(0)