Mathematics-IV Unit 3 – Statistical Techniques I: AKTU previous year questions
46 AKTU questions from Unit 3 (Statistical Techniques I) asked in 2021–2026, tagged by marks, year and topic. In short: about 28 marks of every paper come from this unit; the most asked topic is Measures of Central Tendency (18 times); 31 questions came back in a later year. The latest ones are listed below; on the page you can filter them by 2-mark or long questions, topic and repeats.
Unit 3 previous year questions
- Define the coefficient of skewness based on moments. (2 marks, 2026, Measures of Central Tendency)
- What is meant by regression line of Y on X? (2 marks, 2026, Regression Analysis)
- The following data relate to variables X and Y: X: 2 4 6 8 10, Y: 5 9 13 17 21. Find the correlation coefficient and obtain the regression lines of Y on X and X on Y. (7 marks, 2026, Regression Analysis)
- The following data give the frequency distribution of a variable X: X: 10 20 30 40 50, f: 3 7 12 8 4. Find the first four moments about the mean and hence determine the coefficients of skewness and kurtosis. (7 marks, 2026, Measures of Central Tendency)
- Fit a parabola of the form y = a + bx + cx² to the data: x: 0 1 2 3 4, y: 1 2 5 10 17. (7 marks, 2026, Curve Fitting Least Squares)
- The first three moments of a distribution are 6, 25, -41. Find the moment coefficient of skewness. (2 marks, 2025, Measures of Central Tendency)
- The first three moments of a distribution, about the value '2' of the variable are 1, 16 and -40. Find the mean and variance of the distribution. (2 marks, 2025, Measures of Central Tendency)
- Find the regression coefficient of y on x for the following: n = 10, x̄ = 13, ȳ = 22. (2 marks, 2025, Regression Analysis)
- The first four moments about the working mean 28.5 of a distribution are 0.294, 7.144, 42.409 and 454.98. Calculate the moments about the mean. Also evaluate β1, β2 and comment upon the skewness and kurtosis of the distribution. (7 marks, 2025, Measures of Central Tendency)
- The two regression equations are 3x + 2y = 26 and 6x + y = 31. Find (i) mean of x and y (ii) the correlation coefficient between x and y (iii) if variance of x = 9 then find variance of y. (7 marks, 2025, Regression Analysis)
- Fit the curve y = ae^(bx): x: 2 4 6 8 10, y: 4.077 11.084 30.128 81.897 222.62. (7 marks, 2025, Curve Fitting Least Squares)
- Obtain a relation of the form y = ab^x for the following data by the method of least squares: x: 2 3 4 5 6, y: 8.3 15.4 33.1 65.2 127.4. (7 marks, 2025, Curve Fitting Least Squares)
Most asked Unit 3 topics
- Measures of Central Tendency – asked 18 times
- Regression Analysis – asked 14 times
- Curve Fitting Least Squares – asked 11 times
Unit 3 question pattern
- 2-mark questions: 17 asked in 2021–2026
- 7-mark questions: 15 asked in 2021–2026
- 10-mark questions: 14 asked in 2021–2026
- About 28 marks from Unit 3 in every paper
- 31 questions were asked again in a later year
Unit 3 questions year by year
- 2026: 5 Unit 3 questions asked (25 marks across that year's papers)
- 2025: 9 Unit 3 questions asked (48 marks across that year's papers)
- 2024: 8 Unit 3 questions asked (46 marks across that year's papers)
- 2023: 10 Unit 3 questions asked (68 marks across that year's papers)
- 2022: 10 Unit 3 questions asked (68 marks across that year's papers)
- 2021: 4 Unit 3 questions asked (24 marks across that year's papers)