TRB PG Assistant - Descriptive statistics – mean, median, mode Online Test (MCQ Quiz)

1. What is the primary purpose of descriptive statistics?

A) To make predictions about future events. B) To summarize and describe the main features of a dataset. C) To establish cause-and-effect relationships between variables. D) To test hypotheses about population parameters.

2. Which measure of central tendency is most affected by extreme values (outliers)?

A) Median B) Mode C) Mean D) Range

3. For a dataset that is perfectly symmetrical, which of the following is true?

A) Mean > Median > Mode B) Mode > Median > Mean C) Mean = Median = Mode D) Mean = Median ≠ Mode

4. What does the median represent in a dataset?

A) The most frequently occurring value. B) The average of all values. C) The middle value when the data is ordered. D) The difference between the highest and lowest values.

5. Which measure of central tendency is determined by the position of values in an ordered list?

A) Mean B) Mode C) Standard Deviation D) Median

6. If a dataset has multiple values that occur with the same highest frequency, what is it called?

A) Unimodal B) Bimodal C) Multimodal D) Symmetrical

7. What is the mode of the following dataset: 2, 3, 3, 4, 5, 5, 5, 6?

A) 3 B) 4 C) 5 D) 6

8. Calculate the mean of the dataset: 10, 15, 20, 25, 30.

A) 15 B) 20 C) 22 D) 25

9. What is the median of the dataset: 7, 2, 9, 4, 5?

A) 2 B) 4 C) 5 D) 7

10. In a negatively skewed distribution (tail to the left), how are the mean, median, and mode typically related?

A) Mean < Median < Mode B) Mode < Median < Mean C) Mean = Median = Mode D) Median < Mean < Mode

11. Which of the following is NOT a measure of central tendency?

A) Mean B) Median C) Mode D) Variance

12. What is the mean of the dataset: 5, 5, 5, 5, 5?

A) 0 B) 5 C) 25 D) 1

13. What is the median of the dataset: 1, 2, 3, 4, 5, 6?

A) 3 B) 3.5 C) 4 D) 2.5

14. Which measure is best used when dealing with ordinal data?

A) Mean B) Median C) Mode D) Range

15. What is the mode of the dataset: A, B, C, B, D, B, E?

A) A B) B C) C D) D

16. If a dataset contains the values: 10, 20, 30, 40, 50, and an outlier of 100 is added, which measure of central tendency will change the most?

A) Median B) Mode C) Mean D) Interquartile Range

17. What is the sum of deviations of all values from the mean of a dataset?

A) Always equal to the mean. B) Always equal to the median. C) Always equal to zero. D) Always equal to the mode.

18. Which measure of central tendency is used to identify the most common category in a qualitative dataset?

A) Mean B) Median C) Mode D) Standard Deviation

19. Consider the dataset: 1, 1, 2, 3, 5, 8, 13. What is the median?

A) 3 B) 5 C) 8 D) 2

20. What is the mean of the following numbers: 3, 6, 9, 12?

A) 6 B) 7.5 C) 9 D) 12

21. Which of the following is a property of the median?

A) It is sensitive to extreme values. B) It is the arithmetic average. C) It minimizes the sum of squared deviations. D) Exactly half the data points are above it.

22. What is the mode of the dataset: 10, 12, 10, 15, 12, 10, 18?

A) 10 B) 12 C) 15 D) 18

23. In a dataset of 100 observations, what is the position of the median?

A) The 50th observation. B) The average of the 50th and 51st observations. C) The 51st observation. D) The average of the 1st and 100th observations.

24. Which measure of central tendency is appropriate for interval or ratio data?

A) Mode only B) Median only C) Mean only D) Mean, Median, and Mode

25. What is the mean of the dataset: -2, 0, 2, 4, 6?

A) 0 B) 1 C) 2 D) 4

26. What is the median of the dataset: 25, 10, 30, 15, 20?

A) 10 B) 15 C) 20 D) 25

27. Which of the following distributions would have the mode as the highest point?

A) A symmetrical distribution B) A positively skewed distribution C) A negatively skewed distribution D) A bimodal distribution

28. If a dataset has no repeating values, what is its mode?

A) 0 B) Undefined C) The smallest value D) The largest value

29. What is the mean of the dataset: 1, 2, 3, 4, 5?

A) 1 B) 2 C) 3 D) 4

30. What is the median of the dataset: 10, 20, 30, 40?

A) 20 B) 25 C) 30 D) 35

31. Which measure of central tendency is least useful for describing a dataset with a wide range of values and a few extreme outliers?

A) Mean B) Median C) Mode D) Geometric Mean

32. What is the mode of the dataset: 11, 13, 15, 13, 11, 13, 17?

A) 11 B) 13 C) 15 D) 17

33. Calculate the mean of the dataset: 2, 4, 6, 8, 10.

A) 4 B) 5 C) 6 D) 8

34. What is the median of the dataset: 50, 60, 70, 80, 90?

A) 50 B) 60 C) 70 D) 80

35. In a positively skewed distribution (tail to the right), how are the mean, median, and mode typically related?

A) Mode < Median < Mean B) Mean < Median < Mode C) Mode = Median = Mean D) Median < Mean < Mode

36. Which measure is most appropriate for nominal data?

A) Mean B) Median C) Mode D) Range

37. What is the mean of the dataset: 1, 3, 5, 7, 9?

A) 3 B) 5 C) 7 D) 9

38. What is the median of the dataset: 100, 10, 1000, 100, 10000?

A) 10 B) 100 C) 1000 D) 10000

39. Which of the following describes a dataset with two modes?

A) Unimodal B) Bimodal C) Multimodal D) Symmetrical

40. What is the mode of the dataset: 1, 2, 2, 3, 3, 3, 4, 4?

A) 1 B) 2 C) 3 D) 4

41. Calculate the mean of the dataset: 10, 20, 30, 40, 50, 60.

A) 25 B) 30 C) 35 D) 40

42. What is the median of the dataset: 15, 25, 35, 45?

A) 25 B) 30 C) 35 D) 40

43. Which measure of central tendency is the geometric center of the data?

A) Median B) Mode C) Mean D) Range

44. What is the mode of the dataset: apple, banana, orange, banana, apple, banana?

A) apple B) banana C) orange D) apple and banana

45. Which measure is least affected by the presence of outliers in a dataset?

A) Mean B) Median C) Mode D) Variance

46. What is the mean of the dataset: 0, 0, 0, 0, 0?

A) 0 B) 1 C) Undefined D) Infinity

47. What is the median of the dataset: 1, 1, 1, 2, 2, 3?

A) 1 B) 1.5 C) 2 D) 2.5

48. Which of the following is a measure of dispersion, not central tendency?

A) Mean B) Median C) Mode D) Standard Deviation

49. What is the mode of the dataset: 7, 7, 8, 9, 10, 10?

A) 7 B) 8 C) 9 D) 7 and 10

50. Consider the dataset: 5, 10, 15, 20, 25. What is the mean?

A) 5 B) 10 C) 15 D) 20

Descriptive statistics – mean, median, mode - Online Test

Test Results