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in Statistics by (114k points)
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If coefficient of variation is 75x2 and arithmetic mean is \(\rm \frac{20}{x}\), then standard deviation is 
1. 15x
2. 5x
3. \(\rm \frac{15}{x}\)
4. \(\rm \frac{5}{x}\)

1 Answer

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Best answer
Correct Answer - Option 1 : 15x

Concept:

Coefficient of varience = \(\rm\frac{\text {standard deviation}}{\text{arithematic mean}}\times100 \)

Calculation:

CV = \(\rm\frac{SD}{AM}\times100 \)

⇒  75x2 = \(\rm \frac{SD}{\frac{20}{X}} \times 100\)

SD = 15x   

The correct option is 1 . 

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