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Question

Arjun has calculated the Spearman's rank coefficient for 6 students based on their scores in economics and mathematics to be 0.69. Three students had the same score in economics and 2 students had the same score in Mathematics. Arjun forgot to add the correction factor in his calculations. What will be the corrected Rank coefficient?


A

0.58

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B

0.62

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C

0.67

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D

0.71

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Solution

The correct option is A

0.58


Without correction, the rank coefficient is given by
rk=16D2in3n=0.69

With correction, the rank coefficient is
rk=16[D2i+m31m112+m32m212+]n3n=0.696×m31m112+m32m212n3nGiven, m1=2 & m2=3

corrected rk=0.696×6+2412×(636)=0.690.07=0.62


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