Question

Coefficient of variation of two groups are respectively 40% and 50% and their standard deviations are 16 and 20. Find their arithmetic means.

Answer 1

Answer:

22

Step-by-step explanation:

c.v = s.d/mean

40/100=16/x1

x1=16*100/40

x1=4.

50/100=20/x2

x2=20*100/50

x2=40

mean= (40+4)/2

44/2

ans:22

Answer 2

We know that Coefficient of Variation(CV) can be calculated by Standard Deviation and Mean

$CV = \frac{Standard \: deviation}{Mean} \times 100$
1) Case 1:

CV =40%

SD= 16

$Mean \: = \frac{16}{40} \times 100 \\ \\ Mean= 40$
2) Case 2:

CV =50%

SD= 20

$Mean = \frac{20}{50} \times 100 \\ \\Mean = 40$
Hope it helps you.