Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

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The rankings of ten students in two subjects, Mathematics and Statistics, are as follows.MathematicsStatistics3654894871102231106597The coefficient of rank correlation is:

A.
-0.3
B.
0.3
C.
0.1
D.
-0.1

Solution:

CalculationThe coefficient of rank correlation = 1 “ 6?d2/n(n2 “ 1)D = r1 “ r2r1, r2 ------ are ranksMathematics (r1)Statistics (r2)d = Ir1 “ r2Id23639541189114841671636102884231111098165119724Total10 ?d2 = 214According to spearmans rank correlation coefficient ? = 1 “ 6?d2/n(n2 “ 1)? 1 “ 6 × 214/10(100 “ 1)? 1 “ 6 × 214/990? 1 “ 1.297? The value of rank correlation is approx. “ 0.3

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