The GATE Grind

GATE Research Methods and Statistics: Statistics in Psychology: Central tendency and dispersion, normal probability curve, parametric and non-parametric tests, effect size and power analysis – Previous Year Questions

20 GATE previous year questions on Statistics in Psychology: Central tendency and dispersion, normal probability curve, parametric and non-parametric tests, effect size and power analysis (Research Methods and Statistics, Psychology (XH5)) with answers and explanations, from every paper.

  1. GATE 2026 XH5 (Psychology) Q43 (1 mark, Multiple choice) – Find the value of Standard Error when: (i) Standard Deviation of the population = 10 (ii) Sample size = 100
  2. GATE 2026 XH5 (Psychology) Q44 (1 mark, Multiple choice) – Calculate the value of Standard Deviation using the following scores: Scores: 15, 12, 14, 11, 13
  3. GATE 2026 XH5 (Psychology) Q56 (2 marks, Multiple select) – According to Central Limit Theorem, for a fixed sample size:
  4. GATE 2025 XH5 (Psychology) Q62 (2 marks, Multiple select) – Refer to Column I and Column II and mark the statement(s) that is/are “True” Class 8, Section A marks (Column I) Class 8, Section B marks (Column II)…
  5. GATE 2025 XH5 (Psychology) Q64 (2 marks, Numerical answer) – When the probability of Type I error () is 0.05 and the maximum acceptable probability of Type II error () is 0.20, the researcher is willing to…
  6. GATE 2025 XH5 (Psychology) Q65 (2 marks, Numerical answer) – If Soni got an intelligence score of 115, then what percentage of the population (%, as given in the graph) will have intelligence scores higher than…
  7. GATE 2024 XH5 (Psychology) Q30 (1 mark, Multiple select) – If the data distribution is skewed to the left, it means:
  8. GATE 2024 XH5 (Psychology) Q32 (1 mark, Multiple choice) – If a court acquits the criminal for lack of evidence and sentences the victim for 2 years of rigorous imprisonment in a case, it is an example of:
  9. GATE 2024 XH5 (Psychology) Q36 (1 mark, Multiple choice) – Percentage of scores between the mean and ± 1 standard deviation in a normal distribution is closest to
  10. GATE 2024 XH5 (Psychology) Q49 (2 marks, Multiple select) – Which of the following is/are distribution free test(s)?
  11. GATE 2024 XH5 (Psychology) Q54 (2 marks, Multiple select) – Which of the following is/are measure(s) of dispersion?
  12. GATE 2024 XH5 (Psychology) Q64 (2 marks, Numerical answer) – On a standard test, the population is known to have a mean of 500 and a standard deviation of 100. Those receiving an experimental treatment have a…
  13. GATE 2024 XH5 (Psychology) Q65 (2 marks, Numerical answer) – The standard deviation for the following scores: 8, 6, 6, 9, 6, 5, 6, 2 is (rounded off to two decimal places)
  14. GATE 2023 XH5 (Psychology) Q41 (1 mark, Multiple select) – Which of the following is/are TRUE for nonparametric statistics?
  15. GATE 2023 XH5 (Psychology) Q44 (1 mark, Numerical answer) – If the variance of a set of scores is 100, the standard deviation is (in integer).
  16. GATE 2023 XH5 (Psychology) Q61 (2 marks, Multiple select) – Which of the following describe(s) the standard error of the mean?
  17. GATE 2022 XH5 (Psychology) Q43 (1 mark, Numerical answer) – The mean of a distribution is 14 and standard deviation is 5. What would be the value of coefficient of variation? (round off to two decimal places)
  18. GATE 2022 XH5 (Psychology) Q44 (1 mark, Numerical answer) – Swami gets a test score of 190, the mean is 150 and SD is 25. Assuming normal distribution, the Z score would be . (round off to one decimal place)
  19. GATE 2022 XH5 (Psychology) Q48 (2 marks, Multiple select) – Which of the following statement(s) regarding test scores and their interpretations is/are correct?
  20. GATE 2022 XH5 (Psychology) Q65 (2 marks, Multiple select) – If you want to examine the difference between the work values of employees in public and private sector and the relationship of work values with…