Descriptive statistics – mean, median, mode - Question Bank

1. What is the median of the dataset: 12, 14, 16, 18, 20?
A) 12
B) 14
C) 16
D) 18
2. Consider the dataset: 5, 10, 15, 20, 25. What is the mean?
A) 5
B) 10
C) 15
D) 20
3. What is the mode of the dataset: 7, 7, 8, 9, 10, 10?
A) 7
B) 8
C) 9
D) 7 and 10
4. Which of the following is a measure of dispersion, not central tendency?
A) Mean
B) Median
C) Mode
D) Standard Deviation
5. What is the median of the dataset: 1, 1, 1, 2, 2, 3?
A) 1
B) 1.5
C) 2
D) 2.5
6. What is the mean of the dataset: 0, 0, 0, 0, 0?
A) 0
B) 1
C) Undefined
D) Infinity
7. Which measure is least affected by the presence of outliers in a dataset?
A) Mean
B) Median
C) Mode
D) Variance
8. What is the mode of the dataset: apple, banana, orange, banana, apple, banana?
A) apple
B) banana
C) orange
D) apple and banana
9. Which measure of central tendency is the geometric center of the data?
A) Median
B) Mode
C) Mean
D) Range
10. What is the median of the dataset: 15, 25, 35, 45?
A) 25
B) 30
C) 35
D) 40
11. Calculate the mean of the dataset: 10, 20, 30, 40, 50, 60.
A) 25
B) 30
C) 35
D) 40
12. What is the mode of the dataset: 1, 2, 2, 3, 3, 3, 4, 4?
A) 1
B) 2
C) 3
D) 4
13. Which of the following describes a dataset with two modes?
A) Unimodal
B) Bimodal
C) Multimodal
D) Symmetrical
14. What is the median of the dataset: 100, 10, 1000, 100, 10000?
A) 10
B) 100
C) 1000
D) 10000
15. What is the mean of the dataset: 1, 3, 5, 7, 9?
A) 3
B) 5
C) 7
D) 9
16. Which measure is most appropriate for nominal data?
A) Mean
B) Median
C) Mode
D) Range
17. 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
18. What is the median of the dataset: 50, 60, 70, 80, 90?
A) 50
B) 60
C) 70
D) 80
19. Calculate the mean of the dataset: 2, 4, 6, 8, 10.
A) 4
B) 5
C) 6
D) 8
20. What is the mode of the dataset: 11, 13, 15, 13, 11, 13, 17?
A) 11
B) 13
C) 15
D) 17
21. 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
22. What is the median of the dataset: 10, 20, 30, 40?
A) 20
B) 25
C) 30
D) 35
23. What is the mean of the dataset: 1, 2, 3, 4, 5?
A) 1
B) 2
C) 3
D) 4
24. If a dataset has no repeating values, what is its mode?
A) 0
B) Undefined
C) The smallest value
D) The largest value
25. 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
26. What is the median of the dataset: 25, 10, 30, 15, 20?
A) 10
B) 15
C) 20
D) 25
27. What is the mean of the dataset: -2, 0, 2, 4, 6?
A) 0
B) 1
C) 2
D) 4
28. 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
29. 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.
30. What is the mode of the dataset: 10, 12, 10, 15, 12, 10, 18?
A) 10
B) 12
C) 15
D) 18
31. 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.
32. What is the mean of the following numbers: 3, 6, 9, 12?
A) 6
B) 7.5
C) 9
D) 12
33. Consider the dataset: 1, 1, 2, 3, 5, 8, 13. What is the median?
A) 3
B) 5
C) 8
D) 2
34. 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
35. 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.
36. 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
37. What is the mode of the dataset: A, B, C, B, D, B, E?
A) A
B) B
C) C
D) D
38. Which measure is best used when dealing with ordinal data?
A) Mean
B) Median
C) Mode
D) Range
39. What is the median of the dataset: 1, 2, 3, 4, 5, 6?
A) 3
B) 3.5
C) 4
D) 2.5
40. What is the mean of the dataset: 5, 5, 5, 5, 5?
A) 0
B) 5
C) 25
D) 1
41. Which of the following is NOT a measure of central tendency?
A) Mean
B) Median
C) Mode
D) Variance
42. 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
43. What is the median of the dataset: 7, 2, 9, 4, 5?
A) 2
B) 4
C) 5
D) 7
44. Calculate the mean of the dataset: 10, 15, 20, 25, 30.
A) 15
B) 20
C) 22
D) 25
45. What is the mode of the following dataset: 2, 3, 3, 4, 5, 5, 5, 6?
A) 3
B) 4
C) 5
D) 6
46. 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
47. 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
48. 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.
49. 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
50. Which measure of central tendency is most affected by extreme values (outliers)?
A) Median
B) Mode
C) Mean
D) Range
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