Multiple choice

A group of $100$ candidates have their average height $163.8$cm with coefficient of variation $3.2$. What is the standard deviation of their heights?

  1. $5.24$.
  2. $2.24$.
  3. $7.24$.

  4. None of these
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A Correct answer
Explanation

Coefficient of variation = (Standard Deviation / Mean) * 100. 3.2 = (SD / 163.8) * 100. SD = 3.2 * 163.8 / 100 = 5.2416.

AI explanation

Using the formula for coefficient of variation, which is standard deviation divided by mean multiplied by 100, we substitute the known values: 3.2 equals standard deviation divided by 163.8 multiplied by 100. Solving for standard deviation gives 3.2 times 163.8 divided by 100, which equals approximately 5.24.

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