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

• 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.
  
• 12 years agoHelpfull: Yes(4) No(0)
• mean=sum of elements divided by no of elements
  standard deviation=sqrt((number-mean)^2/no of numbers))
  so answer b holds good
• 13 years agoHelpfull: Yes(2) No(2)