AST-01 Question Paper December 2025 Solved — IGNOU BA / B.Com / B.Sc Statistical Techniques (Application Oriented Course)
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If you are preparing for your upcoming IGNOU exams and need accurate, stepwise solved answers for AST-01, you are in the right place. Unnati Education has prepared a complete AST-01 Statistical Techniques Solved Question Paper December 2025. This resource is built for BA, B.Com, and B.Sc students enrolled under the BDP programme.
About This Solved Paper
| Field | Details |
|---|---|
| Prepared by | Unnati Education Team — IGNOU-experienced academic content writer |
| Qualification | Graduate with specialisation in Statistics and Mathematics |
| Course Name | Bachelor of Arts (BA), Bachelor of Commerce (B.Com), B.Sc (Application Oriented Courses) |
| Institution Reference | IGNOU Term-End Examination, December 2025 |
Download Now — Get AST-01 December 2025 Solved Question Paper
Do not waste time on incomplete Telegram files that skip steps or get formulas wrong. Unnati Education has the AST 1 Question Paper December 2025 solved paper ready with properly worked numerical solutions that match the actual December 2025 examination. Get it now and build real exam confidence.
Get AST-01 Solved Paper NowWhat is AST-01 Question Paper December 2025?
The AST 01 December 2025 question paper is the official IGNOU Term-End Examination for Statistical Techniques under BDP, carrying 50 marks, with Q7 compulsory and any four questions from Q1 to Q6, completed in 2 hours without a calculator.
AST-01 is an Application Oriented Course under IGNOU's Bachelor's Degree Programme. Question 7 carries 10 marks through five true or false sub-parts requiring justification. Questions 1 to 6 each carry 10 marks covering numerical and conceptual problems. Students must attempt any four from these six. The paper tests a range of statistical methods from basic data handling through to hypothesis testing and quality control.
About IGNOU AST-01 — Statistical Techniques
AST-01 is a subject that teaches students how to collect, organise, analyse, and interpret data using standard statistical tools. You study descriptive statistics including mean and frequency distributions, probability distributions like Binomial and Poisson, sampling techniques, estimation, hypothesis testing through ANOVA and chi-square, correlation, and quality control using control charts.
Most students find probability and sampling the trickiest sections. That is because these require not just formula recall but understanding when to apply which method. Once you see a worked solution that explains the logic behind each step, these topics become far more manageable. Unnati Education's solved paper is written with that clarity in mind throughout.
AST-01 December 2025 — Question Paper Pattern and Marks Breakdown
Question 7 is fully compulsory and carries 10 marks across five sub-parts of 2 marks each. These test conceptual understanding through true or false statements with justification. From Questions 1 to 6, each carries 10 marks and you must attempt any four. Total marks are 50 and the exam runs for 2 hours. Here is the important part — calculators are not allowed, so all arithmetic must be done by hand. Choosing your four questions wisely based on topic strength is as important as knowing the methods themselves.
All Questions — AST-01 December 2025 Question Paper (Complete List)
Below are all questions exactly as set in the IGNOU December 2025 examination. Your solved paper covers stepwise answers for all of them.
| Marks | Frequency |
|---|---|
| 10 | 3 |
| 20 | 5 |
| 30 | 8 |
| 40 | 4 |
| 50 | 2 |
(i) Age (ii) Year of birth (iii) Height (iv) Weight
102, 118, 125, 130, 135, 138, 140, 143, 147, 150, 152, 155, 160, 162, 165, 168, 170, 172, 175, 178, 180, 182, 185, 188, 190, 192, 195, 198, 200, 205
(i) Construct a frequency distribution using class intervals of width 20.
(ii) Draw a histogram based on frequency distribution.
(i) Exactly 2 bulbs are defective?
(ii) At most 2 bulbs are defective?
| Year | Profit (Rs. lakhs) |
|---|---|
| 2018 | 10 |
| 2019 | 12 |
| 2020 | 14 |
| 2021 | 16 |
| 2022 | 18 |
| 2023 | 20 |
(ii) Plot original data and moving average obtained in part (i).
| Study Hours | Marks |
|---|---|
| 2 | 3 |
| 3 | 4 |
| 5 | 5 |
| 7 | 6 |
| 8 | 7 |
| Store A | Store B | Store C |
|---|---|---|
| 7, 8, 9, 6, 7 | 8, 9, 10, 7, 8 | 6, 7, 8, 6, 7 |
| Department | Science | Commerce | Arts |
|---|---|---|---|
| Total Students (Nᵢ) | 500 | 300 | 200 |
| SD (Sᵢ) | 10 | 15 | 30 |
(i) Proportion allocation
(ii) Neyman allocation
(i) Calculate population mean.
(ii) Draw all possible samples of size 2 without replacement and calculate mean of each sample.
(iii) Show that sample mean is an unbiased estimate of the population mean.
| S. N. | X̄ | R |
|---|---|---|
| 1 | 19 | 4 |
| 2 | 20 | 5 |
| 3 | 21 | 3 |
| 4 | 20 | 4 |
| 5 | 19 | 5 |
| 6 | 22 | 4 |
| 7 | 20 | 3 |
| 8 | 21 | 5 |
| 9 | 20 | 4 |
| 10 | 18 | 3 |
Which of the following statements are True and which are False? Justify your answer. 5×2=10
Some Values for Use (if required)
| Type | Values |
|---|---|
| Z-Values | Z₀.₉₅ = 1.96 | Z₀.₉₀ = 2.33 | Z₀.₉₉ = 1.645 |
| F-Values | F₂,₁₂,(0.05) = 3.885 | F₂,₁₃,(0.05) = 3.806 | F₃,₁₂,(0.05) = 3.49 |
| t-Values | t₉,₀.₀₂₅ = 2.262 | t₈,₀.₀₂₅ = 2.306 | t₉,₀.₀₅ = 1.833 |
AST-01 Syllabus Topics Covered in IGNOU December 2025 Question Paper
The December 2025 paper covers the complete AST-01 syllabus. Descriptive statistics including mean and frequency distribution appear in Q1. Probability distributions, specifically binomial, are tested in Q2 alongside time series through moving averages. Correlation and confidence interval estimation feature in Q3. One-way ANOVA and sampling theory run through Q4 and Q5. Stratified sampling with proportion and Neyman allocation is tested in Q5. Quality control through X-bar control charts appears in Q6. Q7 covers conceptual topics including Poisson distribution, producer's risk, median properties, correlation range, and chi-square test purpose.
Sample Answer Preview — See How We Solve AST-01 Questions
Here is a brief preview of how our solved paper approaches Q1(a):
Given data: Marks 10, 20, 30, 40, 50 with frequencies 3, 5, 8, 4, 2.
Step 1: Total frequency = 3 + 5 + 8 + 4 + 2 = 22
Step 2: Sum of (marks × frequency) = (10×3) + (20×5) + (30×8) + (40×4) + (50×2) = 30 + 100 + 240 + 160 + 100 = 630
Step 3: Mean = 630 ÷ 22 = 28.64 approximately
Want complete stepwise solutions like this for every question in the paper? Get the full solved paper now.
Download Complete Solved PaperHow to Write High-Scoring Answers in AST-01 — Exam Tips
Who Should Use This AST-01 December 2025 Solved Question Paper?
Why This Is Better Than Free AST-01 PDFs and Telegram Files
- Wrong formulas and skipped steps
- Solutions that do not match the actual December 2025 questions
- One wrong step leads to completely wrong answers
- Can actively damage your preparation
- No quality check or accuracy guarantee
- Prepared specifically for the December 2025 question paper
- Correct formulas and accurate numerical working
- Proper interpretation for every question
- No shortcuts and no guesswork in any solution
- Written by IGNOU-experienced academic content writers
Free AST-01 files on Telegram frequently contain wrong formulas, skipped steps, or solutions that do not match the actual December 2025 questions. In statistics, one wrong step leads to a completely wrong answer, which means a free PDF with errors can actively damage your preparation. Unnati Education's solved paper is prepared specifically for the December 2025 question paper with correct formulas, accurate numerical working, and proper interpretation for every question. There are no shortcuts and no guesswork in any solution.
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