Multiple choice

In a final examination in Statistics the mean marks of a group of $150$ students were $78$ and the S.D was $8.0$. In Economics, however, the mean marks were $73$ and the S.S was $7.6$. The variability in the two subjects respectively is

  1. $10.3\%,10.4\%$
  2. $95\%,7.9\%$
  3. $11.2\%,10.1\%$

  4. none of these
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A Correct answer
Explanation

Variability here is the coefficient of variation, calculated as standard deviation divided by mean, multiplied by 100. The values are 8/78 x 100 = 10.3% and 7.6/73 x 100 = 10.4%, respectively.

AI explanation

Variability is measured using the coefficient of variation, calculated by dividing the standard deviation by the mean and multiplying by 100. For Statistics, this is calculated as (8.0 divided by 78) multiplied by 100, which equals 10.25 percent, or 10.3 percent when rounded. For Economics, the calculation is (7.6 divided by 73) multiplied by 100, resulting in 10.41 percent, which rounds to 10.4 percent. The variability in the two subjects respectively is 10.3 percent and 10.4 percent.

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