Worked Examples · Example 4
Q.
The marks obtained by 7 students in Statistics (X) and Accountancy (Y) are given below. Compute Spearman's Rank Correlation Coefficient, applying the correction for tied ranks.
| Student | A | B | C | D | E | F | G |
|---|---|---|---|---|---|---|---|
| Statistics (X) | 85 | 85 | 78 | 90 | 65 | 72 | 72 |
| Accountancy (Y) | 75 | 80 | 70 | 88 | 60 | 65 | 68 |
Gujarat GsebTextbookSubjectiveImportance★★★★★
19% · 8/42 Questions
You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.
Start your 14-day free trial to unlock the full solution →Step 1 — Rank the Statistics marks (X), highest = rank 1, averaging tied ranks. Sorted descending: D(90), A(85), B(85), C(78), F(72), G(72), E(65). A and B tie for 2nd/3rd both get . F and G tie for 5th/6th both get .
| Student | X | |
|---|---|---|
| D | 90 | 1 |
| A | 85 | 2.5 |
| B | 85 | 2.5 |
| C | 78 | 4 |
| F | 72 | 5.5 |
| G | 72 | 5.5 |
| E | 65 | 7 |
Step 2 — Rank the Accountancy marks (Y), no ties. Sorted descending: D(88), B(80), A(75), C(70), G(68), F(65), E(60) ranks 1–7 respectively, with no averaging needed.
Step 3 — Tabulate , , , by student.
| Student | ||||
|---|---|---|---|---|
| A | 2.5 | 3 | −0.5 | 0.25 |
| B | 2.5 | 2 | 0.5 | 0.25 |
| C | 4 | 4 | 0 | 0 |
| D | 1 | 1 | 0 | 0 |
| E | 7 | 7 | 0 | 0 |
| F | 5.5 | 6 | −0.5 | 0.25 |
| G | 5.5 | 5 | 0.5 | 0.25 |
| Total | 1.0 |
Unlock everything free for 14 days
- Full step-by-step solutions
- Concept-first explanations
- Methods, shortcuts & mistakes
- PYQ mapping + timed mock tests
Full access for 14 days. No credit card required.