Mathematics-IV Unit 5 – Statistical Techniques III: important questions for AKTU
Unit 5 (Statistical Techniques III) questions that AKTU repeats most often. This unit carries about 29 marks per paper. Start with the repeated questions, then the most asked topics.
Most repeated Unit 5 questions
- Two independent samples of 8 and 7 items respectively had the following values of the variables: Sample I: 9 11 13 11 15 9 12 14, Sample II: 10 12 10 14 9 8 10. Is the difference between the means of the sample significant? (7 marks, 2025, Statistical Tests of Significance) – also asked in 2021, 2022, 2023, 2024, 2025, 2026
- By using Chi-square test, find whether there is any association between income level and type of schooling: Income vs Public school / Govt. School: Low: 200, 400; High: 1000, 400. (7 marks, 2025, Statistical Tests of Significance) – also asked in 2021, 2022, 2023, 2024, 2026
- The height of 6 randomly chosen sailors in inches are 63, 65, 68, 69, 71 and 72. Those of 9 randomly chosen soldiers are 61, 62, 65, 66, 69, 70, 71, 72 and 73. Test whether the sailors are on the average taller than soldiers. (7 marks, 2024, Statistical Tests of Significance) – also asked in 2021, 2022, 2023, 2025, 2026
Most important Unit 5 topic
- Statistical Tests of Significance (Unit 5: Statistical Techniques III) – asked 22 times in 2021, 2022, 2023, 2024, 2025, 2026
Most asked Unit 5 topics
- Statistical Tests of Significance – asked 22 times
- Statistical Quality Control – asked 16 times
- Sampling Theory and Hypothesis – asked 9 times
More Unit 5 previous year questions
- What is a control chart? Name any two types of control charts. (2 marks, 2026, Statistical Quality Control)
- Two independent random samples from two normal populations gave the following results: Sample I: size 10, mean 52, SD 6; Sample II: size 12, mean 47, SD 5. Test whether the difference between the sample means is significant at 5% level of significance. Assume population variances are equal. (7 marks, 2026, Statistical Tests of Significance)
- The following table shows the distribution of students according to gender and preference of subject: Male: Science 50, Arts 30, Commerce 20, Total 100; Female: Science 40, Arts 50, Commerce 30, Total 120; Total: 90, 80, 50, 220. Test at 5% level of significance whether gender and subject preference are independent. (7 marks, 2026, Statistical Tests of Significance)
- Five samples, each of size 4, were taken from a production process. The sample means and ranges are given below: Sample 1: mean 20, R 4; Sample 2: mean 22, R 5; Sample 3: mean 19, R 3; Sample 4: mean 21, R 4; Sample 5: mean 23, R 6. Construct x̄-chart and R-chart and comment on whether the process is under control. Given A2 = 0.729, D3 = 0, D4 = 2.282. (7 marks, 2026, Statistical Quality Control)
- What do you mean by statistical quality control? (2 marks, 2025, Statistical Quality Control)
Unit 5 syllabus topics
- Sampling Theory and Hypothesis
- Statistical Tests of Significance
- Statistical Quality Control