About This Solved Paper
| Prepared by | Unnati Education, IGNOU-experienced academic content writer |
|---|---|
| Qualification | Graduate with specialization in Statistics and Computer Applications |
| Programme | IGNOU Bachelor of Computer Applications BCA New (BCA_NEW) |
| Institution Reference | IGNOU Term-End Examination December 2025 |
BCS-040 is a core subject in IGNOU's BCA Revised program that builds your ability to interpret data, test hypotheses, and apply statistical models to real problems. From probability distributions and sampling methods to regression analysis and ANOVA, this subject demands both calculation accuracy and conceptual clarity. The BCS 040 Question Paper December 2025 was conducted under the IGNOU official schedule with a 2-hour duration and 50 total marks. At Unnati Education, we have prepared complete solved answers written precisely to match IGNOU's expected format.
What is BCS-040 Question Paper December 2025?
The BCS 040 December 2025 question paper is an official IGNOU Term-End Examination for Statistical Techniques under the BCA New program, carrying 50 marks across two sections, with a 2-hour duration held in December 2025.
This paper was part of the IGNOU Term-End Examination December 2025 official schedule conducted under the revised BCA framework. The exam had two sections — Section A with six questions (attempt any four, 5 marks each) and Section B with four questions (attempt any three, 10 marks each). Together they total 50 marks. The paper tested students on numerical ability, statistical reasoning, and theoretical understanding of distributions, sampling, regression, and testing methods.
About BCS-040 — Statistical Techniques
BCS-040 is one of those subjects where understanding the concept and solving the numerical go hand in hand. You cannot score well by memorising definitions alone. The subject covers probability distributions including Binomial and Poisson, descriptive statistics like mean, variance and standard deviation, sampling distributions, median calculations from frequency tables, systematic sampling methods, F-tests, chi-square tests, ANOVA, regression analysis, forecasting models, and key differentiations like Z-test vs t-test. That's why proper preparation with solved examples is the most effective way to approach this paper.
BCS-040 Question Paper - Exam Pattern and Marks Breakdown
The paper carried 50 marks in total with a 2-hour duration. It was divided into two sections. Section A had six questions of 5 marks each and students had to attempt any four, contributing 20 marks. Section B had four questions of 10 marks each and students had to attempt any three, contributing 30 marks. Use of a non-scientific calculator was permitted. Most students notice that Section B questions require detailed workings and multi-part answers, so time management across both sections is critical for a good score.
All Questions — BCS 040 Question Paper December 2025 IGNOU (Complete List)
Section A
Explain the term 'probability distribution'. How does Binomial distribution differ from Poisson distribution? 5
Given the following sample of 10 numbers: 12, 41, 48, 58, 14, 43, 50, 59, 15, 45 (a) Compute Mean, Variance and Standard Deviation. 3 (b) If the largest value in the above set of numbers is changed to 500, to what extent are the mean and variance affected by the change? Justify your answer. 2
A Mathematics professor has given five tests. A student scored 70, 75, 65, 80 and 95 respectively in the five tests. The professor decides to determine his grade by randomly selecting a sample of 3 test scores. Construct the sampling distribution for this process. 5
Write two merits and two demerits of median. Given the frequency distribution as follows: 5 C. I. Frequency 10-20 : 12 20-30 : 30 30-40 : 34 40-50 : 65 50-60 : 46 60-70 : 25 70-80 : 18 Find the median value.
Differentiate between the linear systematic sampling and circular systematic sampling. 5
Write short notes on the following: 5 (a) F-test for equality of two variances (b) Chi-square test for independence of attributes
Section B
The following table shows the sample value of 3 independent normal random variables X1, X2 and X3. Assuming that they have equal variances, test the hypothesis that they have the same mean by using ANOVA (Given F(2, 9) (0.05) = 4.26): 10 X1 X2 X3 13 16 15 11 8 12 16 21 25 22 11 10
What do you understand by forecasting? How is forecasting related to future planning? Give suitable example in support of your answer. Briefly discuss any forecasting model. 10
An IT company wants to estimate how its monthly costs are related to its monthly output rate? For that the firm collects a data regarding its costs and outputs for a sample of nine months as given below: 10 Output (tons) Production Cost (in thousands of dollars) 1 : 2 2 : 3 4 : 4 8 : 7 6 : 6 5 : 5 8 : 8 9 : 8 7 : 6 (a) Calculate the best linear regression line. (b) Use this regression line to predict the firm's monthly costs if they decide to produce 4 tons per month.
Differentiate between the following: 10 (a) Z-test and t-test (b) Correlation and Regression
BCS 040 Syllabus Topics Covered in Question Paper
This paper covered the core BCS-040 syllabus comprehensively. Topics included probability distributions and the distinction between Binomial and Poisson distributions, computation of mean, variance and standard deviation, impact of outliers on statistical measures, sampling distributions, merits and demerits of median, median calculation from grouped data, linear and circular systematic sampling, F-test, chi-square test, ANOVA for hypothesis testing with equal variances, forecasting concepts and models, linear regression analysis with prediction application, and differentiation between Z-test and t-test, and between correlation and regression.
Sample Answer Preview — BCS 040 Statistical Techniques Solved Question Paper
Take Question 9 on regression analysis as an example. Many students lose marks by jumping straight into the formula without setting up the data table properly. Here is what works: list all nine data pairs clearly, compute the sum of X, sum of Y, sum of XY, and sum of X squared in a structured table. Then apply the formula for slope (b) and intercept (a) step by step. Once the regression equation is established, substituting X equal to 4 gives the predicted monthly cost directly. That clean, step-by-step method earns full marks. Want the same approach for all questions? Get the complete IGNOU BCS-040 question paper solved from Unnati Education.
How to Write High-Scoring Answers in BCS 040 Question Paper
For Section A questions of 5 marks, keep your answer focused and around 150 to 200 words. Define the key term first, then explain with a formula or example where needed. For Section B questions of 10 marks, aim for 300 to 400 words with a clear structure. Here's the important part for numerical questions — always show your working completely, even if you are unsure about the final answer. IGNOU awards marks for methodology, not just the result. For theory-based questions like Question 8 on forecasting, write a definition, explain the connection to planning, give a practical example, and describe one model clearly.
Who Should Use This BCS-040 Solved Question Paper December 2025?
This solved paper is most valuable for BCA New program students who appeared in the December 2025 examination. It is equally useful for students preparing for a fresh or repeat attempt in upcoming IGNOU term-end cycles. Students who find numerical subjects challenging and want to see how each calculation should be laid out will benefit the most. Even students who are confident in the theory but unsure about IGNOU's expected answer format will find this resource genuinely helpful.
Why This is Better Than Free BCS-040 December 2025 Question Paper PDFs and Telegram Files
Free files on Telegram often contain answers without full workings, wrong calculations, or answers borrowed from previous years without checking relevance. For a subject like Statistical Techniques, a wrong step in a numerical can invalidate an entire solution. In practice, that kind of resource does more harm than good. Unnati Education's solved paper shows complete step-by-step workings for every numerical, accurate formula application, and theory answers structured to IGNOU's marking expectations. It is verified, fresh for December 2025, and written by someone who understands this subject deeply.
Student Reviews — BCS-040 Solved Question Paper by Unnati Education
"The regression question in Section B was fully worked out with every step shown clearly. I had struggled with this topic all semester and this solved paper finally made it click for me." — Manish D., BCA student, Pune
"Question 7 on ANOVA was explained exactly the way IGNOU expects. The table format and final comparison with the F-value was perfect." — Ritu S., BCA student, Hyderabad
"Fast, affordable, and genuinely helpful. I checked three other sources before this and none of them had complete solutions. Unnati Education delivered." — Arjun K., BCA student, Ahmedabad
How to Get the BCS-040 Solved Question Paper December 2025 — Step by Step
Step 1: Contact Unnati Education through WhatsApp, email, or the website enquiry form. Share your program name BCA New and the paper code BCS-040. Step 2: Confirm your requirement, whether it is the solved question paper, assignment answers, or both, and complete the simple payment process. Step 3: Receive your BCS-040 Solved Question Paper December 2025 directly on WhatsApp or email, typically within a few hours of placing your request.
Frequently Asked Questions
What is BCS-040?
BCS-040 is a subject titled Statistical Techniques, offered under IGNOU's Bachelor of Computer Applications Revised program (BCA New). It covers probability distributions, descriptive statistics, sampling methods, hypothesis testing including ANOVA, F-test and chi-square test, regression analysis, forecasting models, and key statistical differentiations relevant to data-driven computer applications.
What is the exam pattern for BCS 040 December 2025?
The paper carried 50 marks with a 2-hour duration. It was divided into two sections. Section A had six questions of 5 marks each, with students attempting any four. Section B had four questions of 10 marks each, with students attempting any three. Use of a non-scientific calculator was permitted throughout the examination as per IGNOU instructions.
Which topics were covered in the BCS 040 December 2025 paper?
The paper covered probability distributions, mean, variance and standard deviation, effect of outliers, sampling distributions, median from grouped data, systematic sampling types, F-test, chi-square test, ANOVA, forecasting and planning, linear regression with prediction, Z-test vs t-test differences, and the distinction between correlation and regression as per the BCS-040 syllabus.
How can I access the IGNOU BCS-040 question paper with full solutions?
Contact Unnati Education through WhatsApp or the website enquiry form. Mention your program as BCA New and the paper code as BCS-040. After confirming your requirement and completing the simple payment step, the fully solved paper is delivered directly to you on WhatsApp or email within hours.
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Get Your BCS 040 Solved Question Paper December 2025 Now
Statistical Techniques is a subject where the right guidance makes a measurable difference in your marks. Whether you just sat the December 2025 exam and want to review your answers, or you are planning your next attempt, a properly solved paper helps you prepare with confidence. Reach out to Unnati Education today and get your BCS-040 Solved Question Paper delivered straight to your device. Thousands of IGNOU students trust us, and your results will reflect that choice.