Latest TCS Aptitude Question SOLUTION: 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 distanc

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(#M40012098) TCS question Keep an EYE

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

Asked In TCS shilpa (12 years ago)

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Read Solution (11) :

SUMANTA NAYAK  (12 years ago)

at X5...as it is the middle of x1 and x9

Is this solution Helpfull? Yes (14) | No (7)  

sindhumohana  (12 years ago)

middle way btw x1 and x9

Is this solution Helpfull? Yes (5) | No (3)  

shivang saxena  (12 years ago)

at X=5, as the distance wiil be equal from either side of the points making it the minimum

Is this solution Helpfull? Yes (4) | No (1)  

shilpa  (12 years ago)

guys plz tell the exact ans...too much fluctuations!!

Is this solution Helpfull? Yes (2) | No   

Tabrez Siddiqui  (12 years ago)

i think at any point sum of distance will be the same.

Is this solution Helpfull? Yes (2) | No (1)  

Anseena Rose C A  (12 years ago)

Midway between X1 AND x9.

Is this solution Helpfull? Yes (1) | No   

manikant kumar  (12 years ago)

at x5 ....this is the mid point ....

Is this solution Helpfull? Yes (1) | No (1)  

tanu goel  (12 years ago)

can any1 tell me d correct ans????

Is this solution Helpfull? Yes (1) | No   

ashish kumar  (12 years ago)

at X9 BCOZ IT WL GIVE 9*Y-(X1+X2+......+X9)=0

Is this solution Helpfull? Yes | No (4)  

rakesh  (11 years ago)

at x9 it will give total 0.

Is this solution Helpfull? Yes | No   

Sniper  (9 years ago)

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.

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