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NDA 2016
Exam
NDA
Year
2016
Subject
Mathematics
Chapter
Statistics

NDA 2016 · Mathematics · Statistics

In a study of two groups, the following results were obtained:...

In a study of two groups, the following results were obtained:
Which of the following statements is correct?

Options

  1. AGroup A is less variable than Group B because Group A's standard deviation is smaller.
  2. BGroup A is less variable than Group B because Group A's sample size is smaller.
  3. CGroup A is less variable than Group B because Group A's sample mean is smaller.
  4. DGroup A is less variable than group B because Group A's coefficient of variation is smaller.

Correct answer

D. Group A is less variable than group B because Group A's coefficient of variation is smaller.

Step-by-step solution

For Group A: Coefficient of variation CVA= S.D.  Mean =1022=0.4545.C V_A=\frac{\text{ S.D. }}{\text{ Mean }}=\frac{10}{22}=0.4545. For Group B : CVB=1223=0.522⇒C V_B=\frac{12}{23}=0.522\Rightarrow Group A is less variable.
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