Question

Find the spearman's rank coefficient of correlation from the following data:

X	48	33	40	9	16	16	65	25	16	57
Y	13	13	24	6	15	4	20	9	6	19

• A. $0.76$
• B. $0.52$
• C. $0.61$
• D. $0.85$

Answer 1

The correct option is A $0.76$

$X$	Rank	$Y$	Rank	$|d|$	$d^2$
48 33 40 9 16 16 65 25 16 57	3 5 4 10 7 7 1 6 7 2	13 13 24 6 15 4 20 9 6 19	5 5 1 8 4 10 2 7 8 3	2 0 3 2 3 3 1 1 1 1	4 0 9 4 9 9 1 1 1 1

$n=10,\sum d^2=39$

$r=1-\frac{6\sum d^2}{n(n^2-1)}=1-\frac{6\times 39}{10({10}^2-1)}=1-\frac{234}{990}=0.76$