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Questions  

Coefficients of variation of two distributions are 50 and 60, and their arithmetic means are 30 and 25, respectively. Difference of their standard deviations is

a
0
b
1
c
1.5
d
2.5

detailed solution

Correct option is A

Here, (CV)1=50,(CV)2=60,x¯1=30 and x¯2=25∴ (CV)1=σ1x¯1×100⇒ 50=σ130×100∴ σ1=30×50100=15 and  CV2=σ2x¯2×100⇒ 60=σ225×100∴ σ2=60×25100=15 Now, σ1−σ2=15−15=0

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