Coefficient of variation of two distributions are 60 and70, and their standard deviations arc 21 and 16, respectively. The sum of their arithmetic means is

Given C.V. (1st distribution) =60,σ1=21 C.V. (2nd distribution) =70,σ2=16 Let x1¯ and x2¯ be the means of 1 st and 2 nd distribution,  respectively. Then  C.V. (1st distribution) =σ1x¯1×100 Therefore 60=21x¯1×100 or x¯¯1=2160×100=35 And C.V. 2nd  distribution) =σ2x¯2×100 i.e., 70=16x¯2×100 or x2¯=1670×100=22.85      Sum of means = 35 + 22.85 =57.85