Question
Download Solution PDFComprehension
The sum and the sum of squares of the observations corresponding to length X (in cm) and weight Y (in gm) of 50 tropical tubers are given as \(\Sigma X = 200$, \Sigma Y = 250, \Sigma X^2 = 900 and \Sigma Y^2 = 1400\)
Which one of the following statements is correct?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCalculation:
Explanation:
The Coefficient of Variation (C.V.) formula is given as:
\( C.V.(X) = \frac{\sigma_X}{M_X} \times 100 \)
Substituting values:
\( C.V.(X) = \frac{\sqrt{2}}{50} \times 100 = 2\sqrt{2} \)
The Coefficient of Variation for Y is:
\( C.V.(Y) = \frac{\sqrt{3}}{50} \times 100 = 2\sqrt{3} \)
∴ C.V.(X) < C.V.(Y)
Hence, the correct answer is Option 2.
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