Latest TCS Aptitude Question SOLUTION: Which of the following set of numbers has the highest Standard deviation? a)1,0,1,0,1,0 b)-1,-1,-1,-1,-1,-1 c)1,1,1,1,1,1 d)1,1,0,-1,0,-1

• Placement Papers
• /
• TCS

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40002853) TCS question Keep an EYE

Which of the following set of numbers has the highest Standard deviation?

a)1,0,1,0,1,0

b)-1,-1,-1,-1,-1,-1

c)1,1,1,1,1,1

d)1,1,0,-1,0,-1

Asked In TCS shrishti jain (12 years ago)

Solved Rakesh Kumar Kohli Read Solution (2)

Is this Puzzle helpful?   (11)   (6) Submit Your Solution

Read Solution (2) :

Rakesh Kumar Kohli  (12 years ago)

Ans. d) set of numbers has highest standard deviation.

Mean of 1,0,1,0,1,0 is 1/2.
So Standard deviation is sqrt(3*(1/2)^2+3*(-1/2)^2)= sqrt(6*(1/2)^2)
= sqrt(6/4)

Mean of -1,-1,-1,-1,-1,-1 is -1. So Standard deviation is 0

Mean of 1,1,1,1,1,1 is 1. So Standard deviation is 0

Mean of 1,1,0,-1,0,-1 is 0. So Standard deviation is sqrt(1+1+1+1) = 2

Thus d) set of numbers has highest standard deviation.

Is this solution Helpfull? Yes (4) | No   

vijaykrishna  (12 years ago)

mean=sum of elements divided by no of elements
standard deviation=sqrt((number-mean)^2/no of numbers))
so answer b holds good

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

Please Login to Read Solution.