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आने वाले दो (02) प्रश्नांशों के लिए निम्नलिखित पर विचार कीजिए :
50 ऊष्णकटिबंधीय कंदों (tropical tubers) की लंबाई X (cm में) और वजन Y (gm में) के संगत प्रेक्षणों का योगफल और उनके वर्गों का योगफल इस प्रकार दिया गया है: \(\Sigma X = 200, \Sigma Y = 250, \Sigma X^2 = 900\) और \(\Sigma Y^2 = 1400\)
निम्नलिखित कथनों में से कौन-सा सही है?
Answer (Detailed Solution Below)
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व्याख्या:
विचरण गुणांक (C.V.) का सूत्र इस प्रकार दिया गया है:
\( C.V.(X) = \frac{\sigma_X}{M_X} \times 100 \)
मान प्रतिस्थापित करने पर:
\( C.V.(X) = \frac{\sqrt{2}}{50} \times 100 = 2\sqrt{2} \)
Y के लिए विचरण गुणांक है:
\( C.V.(Y) = \frac{\sqrt{3}}{50} \times 100 = 2\sqrt{3} \)
∴ C.V.(X) < C.V.(Y)
इसलिए, सही उत्तर विकल्प 2 है।
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