Q1. The value of the Kolmogorov-Smirnov statistic to test whether the observations 0.32, 0.16, 0.98, 0.16 and 0.08 arise from a U(0, 2) population is
- (a) 0.16
- (b) 0.52
- (c) 0.64
- (d) 0.76
IES ISS 2020 Statistics Paper I Question Paper PDF | UPSC
- Year 2020
- Conducted By UPSC
- Questions 80
- Maximum Marks 200
- Duration Two Hours
Exam Details
| Detail | Information |
|---|---|
| Examination | Indian Economic Service - Indian Statistical Service Examination |
| Year | 2020 |
| Conducting Body | UPSC |
| Paper | Statistics Paper I |
| Subject | Statistics |
| Duration | Two Hours |
| Maximum Marks | 200 |
| Number of Questions | 80 |
| Question Type | Objective (MCQ) |
This is the Statistics Paper I from the Indian Economic Service - Indian Statistical Service Examination held in 2020 by UPSC. The paper consists of 80 objective-type questions and is allocated a maximum of 200 marks, with a time limit of two hours. This question paper is a valuable resource for aspirants preparing for the IES ISS exam, offering insights into the exam pattern, difficulty level, and important topics in Statistics.
Major Topics Covered
- Statistics
- Probability
- Hypothesis Testing
- Contingency Tables
- Statistical Tests
- Order Statistics
- Uniform Distribution
- Exponential Distribution
- Normal Distribution
- Runs Test
- Kolmogorov-Smirnov Test
- Paired t-test
- Mann-Whitney U test
- Median Test
- Sign Test
Why This Paper is Important
- Useful for Indian Economic Service - Indian Statist preparation
- Helps understand the latest exam pattern
- Useful for practice and self-assessment
- Covers frequently asked General Studies topics
- Helpful for analysing question trends
Related Resources
- IES ISS 2021 Statistics Paper I
- IES ISS 2019 Statistics Paper I
- IES ISS 2020 Statistics Paper II
- UPSC Statistics Optional Paper
- IES ISS 2020 Statistics Paper I Answer Key
- UPSC Statistics Paper Answer Key
- IES ISS Statistics Syllabus
- UPSC Exam Syllabus
Instructions
- THIS TEST BOOKLET DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, ETC.
- IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET.
- Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test
- Booklet Series Code A, B, C or D carefully and without any omission or discrepancy at the appropriate places in the OMR Answer Sheet.
- Any omission/discrepancy will render the Answer Sheet liable for rejection.
- You have to enter your Roll Number on the
- Test Booklet in the Box provided alongside.
- DO NOT write anything else on the Test Booklet.
- This Test Booklet contains 80 items (questions).
- Each item comprises four responses (answers).
- will select the response which you want to mark on the Answer Sheet.
- In case you feel that there is more than one correct response, mark the response which you consider the best.
- In any case, choose ONLY ONE response for each item.
- You have to mark all your responses ONLY on the separate Answer Sheet provided.
- Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet,
- you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your Admission Certificate.
- After you have completed filling in all your responses on the Answer Sheet and the examination has
- concluded, you should hand over to the Invigilator only the Answer Sheet.
- You are permitted to take away with you the Test Booklet.
- Sheets for rough work are appended in the Test Booklet at the end.
- Penalty for wrong answers: THERE WILL BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE IN THE OBJECTIVE TYPE QUESTION PAPERS.
- There are four alternatives for the answer to every question.
- For each question for which a wrong answer \omega has been given by the candidate, one-third of the marks assigned to that question will be deducted as penalty.
- If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given answers happens to be correct and there will be same penalty as above to that question.
- (ii) If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that (iii) question.
- DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE TOLD TO DO SO
Questions (page 2)
Q2. Given the following contingency table : It is known that column total for material C and D are same. Then values of X1, X2 and Y are respectively
- (a) 66, 34, 18
- (b) 34, 66, 18
- (c) 70, 30, 20
- (d) 30, 70, 20
Q3. In a clinical trial, n randomly chosen persons were enrolled to examine whether two different skin creams, A and B, have different effects on the human body. Cream A was applied to one of the randomly chosen arms of each person, cream B to the other arm. Which statistical test is to be used to examine the difference? [Assume that the response measured is a continuous variable]
- (a) Two-sample Kolmogorov - Smirnov test
- (b) Two-sample t-test if normality can be assumed
- (c) Paired t-test if normality can be assumed
- (d) Test for randomness
Q4. If X ~ F(5, 10), then consider the following statements :
- (1) E(X) > 1
- (2) Mode of X > 1
- (a) 1 only
- (b) 2 only
- (c) Both 1 and 2
- (d) Neither 1 nor 2
Q5. In 30 tosses of a coin, the following sequence of heads (H) and tails (T) is obtained as H T T THHHTHHTTHTHTHHTHTT THHTHT. The number of runs is
- (a) 30
- (b) 22
- (c) 20
- (d) 28
Q6. A manufacturer claims that the lifetime of its product is more than 250 hours. To verify its claim based on 24 randomly observed lifetimes, which one of the following tests can be used ?
- (a) Sign test
- (b) Mann – Whitney U test
- (c) Median test
- (d) Kolmogorov – Smirnov test
Q7. If X(r) is the rth order statistic in a random sample of size n from a distribution with c.d.f. F(x) which is continuous, then F(X(r)) is the rth order statistic in a random sample of size n from the
- (a) Uniform distribution over (-1, +1)
- (b) Uniform distribution over (0, 1)
- (c) Normal distribution
- (d) Exponential distribution
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Frequently asked questions
What is the full name of the exam?
The full name of the exam is the Indian Economic Service - Indian Statistical Service Examination.
Which year is this question paper from?
This question paper is from the year 2020.
Who conducts the IES ISS examination?
The IES ISS examination is conducted by UPSC (Union Public Service Commission).
What is the subject of this paper?
This paper is Statistics Paper I.
What is the total duration for the exam?
The time allowed for this paper is Two Hours.
What are the maximum marks for this paper?
The maximum marks for Statistics Paper I are 200.