In the calculation of rank correlation coefficient (r) of 8 observations it is found that \sumd_i^2=40.5.where d_i are the deviations. Then the value of r is

AP ICET 2017 Shift 2 Paper

Question : 146 of 200

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In the calculation of rank correlation coefficient (r) of 8 observations it is found that

Σd_i^2=40.5

.where d_i are the deviations. Then the value of r is

Solution:

r=1-{6∑d_{i}^{2}}/{n(n^{2}-1)}=1-{6×40.5}/{8(8^{2}-1)}

=1-{243}/{8×63}=1-{27}/{56}={29}/{56}

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