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Mathematics-IV Unit 3 – Statistical Techniques I: important questions for AKTU

Unit 3 (Statistical Techniques I) questions that AKTU repeats most often. This unit carries about 28 marks per paper. Start with the repeated questions, then the most asked topics.

Most repeated Unit 3 questions

  • Calculate all four moments about mean and also skewness and kurtosis. Marks: 0-10 10-20 20-30 30-40 40-50 50-60 60-70, Students: 1 6 10 15 11 7 10. (7 marks, 2025, Measures of Central Tendency) – also asked in 2021, 2022, 2023, 2024, 2026
  • Determine the skewness and kurtosis for the following data: Marks: 10-20 20-30 30-40 40-50 50-60, No. of students: 18 20 30 22 10. (7 marks, 2024, Measures of Central Tendency) – also asked in 2021, 2022, 2023, 2025, 2026
  • 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) – also asked in 2021, 2022, 2023, 2024

Most important Unit 3 topic

  • Measures of Central Tendency (Unit 3: Statistical Techniques I) – asked 18 times in 2021, 2022, 2023, 2024, 2025, 2026

Most asked Unit 3 topics

  • Measures of Central Tendency – asked 18 times
  • Regression Analysis – asked 14 times
  • Curve Fitting Least Squares – asked 11 times

More 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)
  • 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)

Unit 3 syllabus topics

  • Measures of Central Tendency
  • Curve Fitting Least Squares
  • Correlation and Rank Correlation
  • Regression Analysis