Latest TCS Aptitude Question SOLUTION: 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

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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

Asked In TCS (12 years ago)

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HARINATHAREDDY  (12 years ago)

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

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geetha  (12 years ago)

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

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