Statistics · UPSC CDS/OTA · Question 5 of 30

Statistics – Question 5

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

Group A has 4 observations (18, 20, 22, 24) and Group B has 3 observations (30, 32, 34). Find the combined mean.

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.

Combined mean = (n₁x̄₁ + n₂x̄₂)/(n₁+n₂) = (4×21.00 + 3×32.00)/7 = 25.71.

Final Answer: Option D — 25.71
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Statistics Question 5 – UPSC CDS/OTA