Multiple choice

A group of 65 students of class XI have their average height is 150.4cm with coefficient of variation 2.5%. What is the standard deviation of their height?

  1. 2.76

  2. 3.76

  3. 2.50

  4. 3.50

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CV = (SD / Mean) * 100. 2.5 = (SD / 150.4) * 100. SD = (2.5 * 150.4) / 100 = 3.76.

AI explanation

The relationship between standard deviation, coefficient of variation, and mean is given by the formula standard deviation equals (coefficient of variation multiplied by mean) divided by 100. Substituting the provided values yields (2.5 multiplied by 150.4) divided by 100. Calculating this gives 376 divided by 100, which results in a standard deviation of 3.76.