UPSC CDS/OTA
Statistics
Mathematics
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Statistics

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Questions
30
Time
30 min
Marks
30
Solutions
All inline
Q1Find the arithmetic mean of the data: 12, 15, 18, 20, 25, 30.EasySolve →Q2Find the median of: 7, 9, 11, 13, 15, 19, 21.EasySolve →Q3For the dataset with values 1–6 having frequencies 2,3,5,4,3,1 respectively, find the mode.ModerateSolve →Q4Compute weighted mean of marks 80, 70, 60 with weights 4, 3, 3.ModerateSolve →Q5Group A has 4 observations (18, 20, 22, 24) and Group B has 3 observations (30, 32, 34). Find the combined mean.ModerateSolve →Q6Find the population variance of 5, 7, 9, 11.ModerateSolve →Q7Find the population standard deviation of 5, 7, 9, 11.ModerateSolve →Q8Two series have (mean, SD): A (50, 5) and B (70, 9). Which is more consistent?EasySolve →Q9Find the 70th percentile (P₇₀) using nearest-rank method for data: 22, 25, 27, 30, 35, 40, 42, 45.ModerateSolve →Q10For data 10,12,15,18,21,24,27,30,33 find Q₁ (Tukey method).ModerateSolve →
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