Question
Download Solution PDFदो विषयों, गणित और सांख्यिकी में दस छात्रों की रैंकिंग निम्न प्रकार है।
गणित |
सांख्यिकी |
3 |
6 |
5 |
4 |
8 |
9 |
4 |
8 |
7 |
1 |
10 |
2 |
2 |
3 |
1 |
10 |
6 |
5 |
9 |
7 |
रैंक सहसंबंध का गुणांक है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFगणना
रैंक सहसंबंध का गुणांक है = 1 – 6∑d2/n(n2 – 1)
D = r1 – r2
r1, r2 ------ रैंक हैं
गणित (r1) |
सांख्यिकी (r2) |
d = Ir1 – r2I |
d2 |
3 |
6 |
3 |
9 |
5 |
4 |
1 |
1 |
8 |
9 |
1 |
1 |
4 |
8 |
4 |
16 |
7 |
1 |
6 |
36 |
10 |
2 |
8 |
84 |
2 |
3 |
1 |
1 |
1 |
10 |
9 |
81 |
6 |
5 |
1 |
1 |
9 |
7 |
2 |
4 |
Total |
10 |
|
∑d2 = 214 |
स्पीयरमैन के रैंक सहसंबंध गुणांक के अनुसार ρ = 1 – 6∑d2/n(n2 – 1)
⇒ 1 – 6 × 214/10(100 – 1)
⇒ 1 – 6 × 214/990
⇒ 1 – 1.297
∴ रैंक सहसंबंध का मान लगभग – 0.3 है।
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