What the file is
This is the Statistics Paper I question paper from the 2010 UPSC Civil Services Mains examination. It is a 20 page PDF, which makes it one of the longer optional papers, and it was set in both English and Hindi. The copy is an archived version of the commission’s own paper, not a rewritten set of questions.
Quick facts
- Examination: Civil Services Main, 2010
- Subject: Statistics, Paper I (optional)
- Medium: English and Hindi
- Length: 20 pages
- Answers: not included
Why Statistics candidates should read it
Statistics is chosen by a small group of aspirants, usually those with a mathematics or economics degree. Because the optional has fewer coaching resources than Sociology or History, original papers matter more. A 20 page paper holds many short and long numerical questions, and working through them shows how much derivation and how much plain computation the examiner expects.
Suggested way to practise
Print the paper and sit it in one go, keeping a scientific calculator and standard statistical tables at hand if you are allowed them in your own mock plan. Afterwards, sort your errors into three piles: concept gaps, algebra slips and time overruns.
- First pass: attempt only questions you can start within a minute.
- Second pass: take the derivation-heavy questions.
- Review: redo every wrong question without looking at notes.
How it fits the syllabus
Paper I of the optional deals with probability, statistical inference and the theory that supports sampling and estimation. Typical areas to expect are probability distributions, limit theorems, estimation, testing of hypotheses and linear models. Use the paper to check whether your notes treat each of these with enough worked examples.
| Check | What to look for |
|---|---|
| Distributions | Which families are tested, and how often a proof is requested |
| Inference | Balance of estimation versus testing |
| Presentation | Length of working shown for full marks |
Time planning
Because the paper is long, decide in advance how many minutes each question deserves. Candidates who spend half the session on the first two questions rarely recover, so practise stopping on schedule and returning later to unfinished parts.
Printed practice
Numerical subjects are easier on paper, where you can write steps beside the question. Competer sells printed UPSC optional-subject material if you want bound, annotated practice sets near your desk.

















































