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If coefficient of variation is 25x2 and standard deviation is 12x , then Arthmatic mean is

  1. \(\rm \frac{36}{x}\)
  2. 48x
  3. \(\rm \frac{24}{x}\)
  4. \(\rm \frac{48}{x}\)

Answer (Detailed Solution Below)

Option 4 : \(\rm \frac{48}{x}\)
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Detailed Solution

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Concept:

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

Calculation:

CV = \(\rm\frac{SD}{AM}\times100 \)

⇒  25x2 = \(\rm\frac{12x}{AM}\times100 \)

⇒ AM = \(\rm \frac{48}{x}\) .   

The correct option is 4 . 

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