Question

Question 18:
If the Coefficient of Variation of a distribution is 50 and its Standard Deviation is 20 ,then Arithmetic Mean is
O 30
O O
80
40
02​

Answer 1

Answer:

40

Step-by-step explanation:

We know if a distribution having mean  

Given σ=20, coefficient of variation =50 %

We know coefficient of variation = (σ / x) 100 = 50

⇒  x   =2×σ=40

Answer 2

Answer:

The arthemetic mean in terms of coefficient of variation and standard deviation is (C) 40.

Step-by-step explanation:

As per the question,

We need to find the arthemetic mean in terms of coefficient of variation and standard deviation.

As we know, Given information is:

Coefficient of Variation of a distribution is = 50

Standard Deviation is = 20

According to formula of coefficient of variation :

$CV=\frac{S.D.}{Arthemetic\:Mean}\times100 \\\\50=\frac{20}{AM} \times 100\\\\AM=40$

Hence,

The arthemetic mean in terms of coefficient of variation and standard deviation is (C) 40.

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