दो 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:

This question was previously asked in
SSC CGL Tier-II ( JSO ) 2019 Official Paper ( Held On : 17 Nov 2020 )
View all SSC CGL Papers >
  1. -0.3
  2. 0.3
  3. 0.1
  4. -0.1

Answer (Detailed Solution Below)

Option 1 : -0.3
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Detailed Solution

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गणना

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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