The rank of 8 same students in tests in Mathematics and Statistics were as follows : Calculate the coefficient of rank correlation.

The rank of 8 same students in tests in Mathematics and Statistics wer

1.	The rank of 8 same students in tests in Mathematics and Statistics were as follows : Calculate the coefficient of rank correlation.
Answer» <html><body><p></p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/TRJ_ECO_XI_C12_S01_022_S01.png" width="80%"/> <br/> `r_(<a href="https://interviewquestions.tuteehub.com/tag/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</a>)=1-(6sumD^(2))/(N^(3)-N)` <br/> Here , `N=8,sumD^(2)=<a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a>` <br/> <a href="https://interviewquestions.tuteehub.com/tag/substituting-1231652" style="font-weight:bold;" target="_blank" title="Click to know more about SUBSTITUTING">SUBSTITUTING</a> the values, we get<br/> `r_(k)=1-(6xx40)/((8)^(3)-8)=1-(<a href="https://interviewquestions.tuteehub.com/tag/240-295938" style="font-weight:bold;" target="_blank" title="Click to know more about 240">240</a>)/(512-8)=1-(240)/(504)=1-0.48=0.52` <br/> Coefficient of Rank <a href="https://interviewquestions.tuteehub.com/tag/correlation-935534" style="font-weight:bold;" target="_blank" title="Click to know more about CORRELATION">CORRELATION</a> `(r_(k))=0.52`</body></html>