Given 3 sets, A = {70, 70, 70, 70, 70}, B = {70, 70, 70, 70, 80} and C = {70, 72, 74, 76, 78}, which set has the maximum standard deviation?
(a) A (b) B (c) C (d) B and C

• ans d
  b'caz stanadard deviation formulae is s.d=sqrt(sum(xi-mean)/n)
  mean=(70+70+70+70+70)/5=350/5=70
  s.d=sqrt((70-70)^2+(70-70)^2+(70-70)^2+(70-70)^2+(70-70)^2)/5=0
  mean=(70+70+70+70+80)/5=360/5=72
  s.d=sqrt((70-72)^2+(70-72)^2+(70-72)^2+(70-72)^2+(80-72)^2)/5=4+4+4+4+64/5=sqrt(80/5)=4
  same way continue s.d of c=sqrt(120/5)=sqrt(24)=approximately 5 so our answer is d
  
• 13 years agoHelpfull: Yes(3) No(1)
• ans option b,
  s.d=sqrt of(sum of(x-m)^2/n-1)
  A s.d=0
  B s.d=4.4
  C s.d=3.1
  
• 13 years agoHelpfull: Yes(1) No(5)