Question

Question #10
2 marks
If standard deviation = 10 , arithmetic mean = 50 then coefficient variation for the data is
A
20%
B
10%
C
50%
D
70%​

Answer 1

Answer:

A

Step-by-step explanation:

20%

coefficient of variation =S.D/A.M×100

=10/50×100

=20

Answer 2

The coefficient variation for the data is 20%

Given :

Standard deviation = 10 , Arithmetic mean = 50

To find :

The coefficient variation for the data is

A. 20%

B. 10%

C. 50%

D. 70%

Solution :

Step 1 of 2 :

Write down standard deviation and arithmetic mean

Standard deviation = SD = 10

Arithmetic mean = AM = 50

Step 2 of 2 :

Find coefficient variation for the data

The coefficient variation for the data

$\displaystyle \sf{ = \frac{SD}{AM} \times 100\% }$

$\displaystyle \sf{ = \frac{10}{50} \times 100\% }$

$\displaystyle \sf{ = \frac{1}{5} \times 100\% }$

$\displaystyle \sf{ = 20\% }$

Hence the correct option is A. 20%

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