Statistics — Mean, Median, Mode, Standard Deviation - Question Bank

1. The standard deviation is the square root of which measure?
A) Mean
B) Median
C) Mode
D) Variance
2. If the mean of the first n odd numbers is 25, what is the value of n?
A) 5
B) 25
C) 49
D) 50
3. What is the mode of the set {10, 20, 30, 40, 50}?
A) 10
B) 20
C) 30
D) No mode
4. Which measure is least affected by outliers?
A) Mean
B) Median
C) Mode
D) Standard Deviation
5. What is the median of the following set: {1, 1, 2, 3, 3, 3, 4}?
A) 1
B) 2
C) 3
D) 4
6. In a frequency distribution, the mean is calculated by summing the products of each value and its frequency, then dividing by:
A) The number of distinct values
B) The highest value
C) The total frequency
D) The median
7. What is the standard deviation of the numbers 1, 2, 3?
A) 0
B) 1
C) sqrt(2/3)
D) sqrt(2)
8. If the mean of a set of numbers is 10 and the median is 12, what kind of skewness does the data likely exhibit?
A) Symmetrical
B) Positively skewed (right-skewed)
C) Negatively skewed (left-skewed)
D) Bimodal
9. What is the mode of the numbers: 2.5, 3.1, 2.5, 4.0, 3.1, 2.5?
A) 2.5
B) 3.1
C) 4.0
D) 5.6
10. Find the median of the data: 40, 30, 50, 20, 60, 10.
A) 20
B) 30
C) 35
D) 40
11. Calculate the mean of the following numbers: 7, 8, 9, 10, 11.
A) 7
B) 8
C) 9
D) 10
12. What is the variance of a data set with a standard deviation of 5?
A) 5
B) 10
C) 25
D) 50
13. If the median of the set {5, 10, 15, x, 25} is 15, what can be said about x?
A) x must be 15
B) x must be greater than or equal to 15
C) x must be less than or equal to 15
D) x can be any real number
14. What is the mode of the numbers: 100, 101, 102, 101, 100, 101?
A) 100
B) 101
C) 102
D) 103
15. Find the median of the data: 25, 15, 35, 5, 45.
A) 5
B) 15
C) 25
D) 35
16. What is the mean of the first 10 even numbers (starting from 2)?
A) 10
B) 11
C) 20
D) 22
17. Which of the following is a measure of dispersion?
A) Mean
B) Median
C) Mode
D) Standard Deviation
18. If the sum of 6 numbers is 72, what is their mean?
A) 6
B) 12
C) 72
D) 432
19. What is the mode of the numbers: 3, 5, 3, 7, 5, 3, 8?
A) 3
B) 5
C) 7
D) 8
20. Find the median of the data: 8, 12, 10, 14, 6.
A) 8
B) 10
C) 12
D) 14
21. Calculate the mean of the following numbers: 10, 20, 30, 40.
A) 15
B) 20
C) 25
D) 30
22. What is the standard deviation of a data set where all values are the same?
A) 0
B) 1
C) Equal to the value
D) Cannot be determined
23. Which measure is represented by the middle value in an ordered data set?
A) Mean
B) Median
C) Mode
D) Standard Deviation
24. If the mean of the first 'n' natural numbers is 15, what is the value of 'n'?
A) 15
B) 20
C) 29
D) 30
25. What is the mode of the numbers: 10, 15, 10, 20, 10, 15?
A) 10
B) 15
C) 20
D) 25
26. Find the median of the data: 11, 13, 15, 17, 19.
A) 11
B) 13
C) 15
D) 17
27. What is the mean of the numbers 1, 2, 3, 4, 5?
A) 1
B) 2
C) 3
D) 4
28. Which of the following is NOT a measure of central tendency?
A) Mean
B) Median
C) Mode
D) Variance
29. If the mean of a data set is 25 and the sum of observations is 250, how many observations are there?
A) 5
B) 10
C) 25
D) 50
30. Find the mode of the data: 5, 7, 9, 5, 7, 5, 10, 5.
A) 5
B) 7
C) 9
D) 10
31. What is the median of the set {2, 4, 6, 8}?
A) 4
B) 5
C) 6
D) 8
32. What does standard deviation measure?
A) The central value of a data set
B) The most frequent value in a data set
C) The spread or dispersion of data around the mean
D) The range between the highest and lowest values
33. If the sum of 10 observations is 120, what is their mean?
A) 10
B) 12
C) 120
D) 1200
34. What is the mode of the numbers: 1, 2, 3, 1, 2, 1, 4?
A) 1
B) 2
C) 3
D) 4
35. Find the median of the data: 10, 20, 30, 40, 50, 60.
A) 30
B) 35
C) 40
D) 45
36. Calculate the mean of the following frequency distribution: Value: 2, 4, 6 Frequency: 3, 2, 1
A) 3
B) 3.5
C) 4
D) 4.5
37. What is the standard deviation of the data set {5, 5, 5, 5, 5}?
A) 0
B) 1
C) 5
D) 25
38. For a symmetrical distribution, which of the following is generally true?
A) Mean > Median > Mode
B) Mean < Median < Mode
C) Mean = Median = Mode
D) Mean = Median ≠ Mode
39. What is the mean of the numbers 5, 5, 5, 5, 5?
A) 1
B) 5
C) 25
D) 50
40. If the median of the set {x, 2x, 3x} is 10, what is the value of x?
A) 2
B) 4
C) 5
D) 10
41. The mode of a distribution is the value that:
A) Occurs least frequently
B) Occurs most frequently
C) Is the middle value
D) Is the average of the highest and lowest values
42. What is the median of the set {1, 3, 5, 7, 9}?
A) 1
B) 3
C) 5
D) 9
43. Find the mean of the first 5 natural numbers.
A) 1
B) 2
C) 3
D) 5
44. What is the mode of the data set: {2, 2, 3, 4, 4, 4, 5, 5}?
A) 2
B) 3
C) 4
D) 5
45. Which measure of central tendency is most affected by extreme values (outliers)?
A) Median
B) Mode
C) Mean
D) Range
46. Calculate the median for the data: 15, 12, 18, 10, 20, 14.
A) 13
B) 13.5
C) 14
D) 14.5
47. If the mean of five numbers is 10, what is their sum?
A) 5
B) 15
C) 50
D) 100
48. What is the mode of the following numbers: 7, 8, 9, 7, 8, 7, 10, 11?
A) 7
B) 8
C) 9
D) 10
49. In the data set {10, 12, 15, 12, 18, 12, 10}, which value occurs most frequently?
A) 10
B) 12
C) 15
D) 18
50. Given the data set: 3, 5, 2, 8, 5, 9, 5, 1, 7. What is the median?
A) 2
B) 5
C) 7
D) 8
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