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Statistics · UPSC CDS/OTA · Question 23 of 33

Statistics : Compute the Pearson correlation coefficient r for pairs (1,2),(2,4),(3,5),(4,4),(5,5).

Step-by-step solution. Statistics for UPSC CDS/OTA.

Topic
Statistics
Subject
Mathematics
Difficulty
Difficult
Solve Time
45-60 sec

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Q · Statistics Difficult · 45s

Compute the Pearson correlation coefficient r for pairs (1,2),(2,4),(3,5),(4,4),(5,5).

TopicStatistics
Question Typemultiple choice
DifficultyDifficult
Marking+1 / −0.33
Test Duration30 min

Step-by-Step Solution

The complete worked solution.

Every step explained - no skipped algebra.

r=Σ[(x−x̄)(y−ȳ)] / √(Σ(x−x̄)² Σ(y−ȳ)²) = 0.775.

Final Answer: Option B - 0.775
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Compute the Pearson correlation coefficient r for pairs… - Statistics (Mathematics) Solved Question