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GATE 2024 AG – Question 25

Engineering Mathematics · Probability and Statistics · 1 mark · Numerical answer

A dataset has mean16 and variance25. Find coefficient of variation in percent, to two decimals.

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Correct answer: 31.20 to 31.30

Explanation

Standard deviation is the positive square root of variance,$\sigma=\sqrt{25}=5$. The coefficient of variation is $100\sigma/\mu=100(5)/16=\mathbf{31.25\%}$. Using variance directly would confuse squared units with the units of the mean.

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