Statistics · UPSC CDS/OTA · Question 9 of 30

Statistics – Question 9

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

Topic
Statistics
Subject
Mathematics
Difficulty
Moderate
Solve Time
45–60 sec

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Q · Statistics Moderate · 45s

Find the 70th percentile (P₇₀) using nearest-rank method for data: 22, 25, 27, 30, 35, 40, 42, 45.

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

Step-by-Step Solution

The complete worked solution.

Every step explained — no skipped algebra.

n=8 ⇒ k=ceil(0.70×8)=ceil(5.6)=6 ⇒ P₇₀ is 6th value = 40.

Final Answer: Option A — 40
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Statistics Question 9 – UPSC CDS/OTA