GATE 2025 ST – Question 34

Non-parametric Statistics · Rank and Sign Tests · 1 mark · Numerical answer

Three independent observed pairs are (1,3),(2,4),(7,8). Find their Spearman rank correlation to two decimals.

Show answer and explanation

Correct answer: 0.98 to 1.00

Explanation

Both coordinates have ranks (1,2,3). All paired rank differences are zero, so r_s=1−6Σd_i²/[n(n²−1)]=**1.00**.

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