Q.8.
The coefficient of rank correlation marks obtained by 10 students, in English and Economics was
found to be 0.5. It was later discovered that the difference in ranks in the two subjects obtained
by one student was wrongly taken as 3 instead of 7. The correct coefficient of rank correlation is?
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Answer:
The answer is 0.2576
Step-by-step explanation:
The rank coefficient(r) = 1-6Σd^2/n(n^2 -1)
Given Data:
r = 0.5
n = 10
Now the above equation becomes
0.5 = 1-6Σd^2/10(100 -1)
Σd^2 = 0.5 x 990/6 = 82.5
Corrected Σd^2 = 82.5 - (3)^2 +(7)^2
= 82.5 - 9 + 49 = 122.5
Then corrected r = 1 -6 x 122.5 /10 x 99
= 1 - 7424 = 0.2576
Thus the correct coefficient of rank correlation is 0.2576
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