statistical basics for aptitude - mean median mode, simple interpretation of charts - Question Bank

1. What is the median of the dataset: 10, 5, 15, 20, 25?
A) 5
B) 10
C) 15
D) 20
2. What is the mean of the numbers 2, 3, 4, 5, 6?
A) 3
B) 4
C) 5
D) 6
3. If the median of a dataset is 30 and the mean is 35, the distribution is likely:
A) Symmetric
B) Skewed to the left
C) Skewed to the right
D) Uniform
4. A cumulative frequency graph is also known as a:
A) Histogram
B) Frequency Polygon
C) Ogive
D) Scatter Plot
5. What is the mode of the following numbers: 1, 2, 3, 1, 2, 1, 4?
A) 1
B) 2
C) 3
D) 4
6. Find the median of the dataset: 50, 60, 70, 80, 90, 100.
A) 60
B) 70
C) 80
D) 85
7. Consider the dataset: 12, 15, 18, 21, 24. What is the mean?
A) 15
B) 18
C) 21
D) 24
8. What is the mode of the numbers: 7, 7, 8, 8, 9, 9?
A) 7
B) 8
C) 9
D) No unique mode
9. In a double bar chart, what is typically compared?
A) Trends over time for a single category
B) Proportions of different categories
C) Two or more related variables across categories
D) The overall total
10. Which of the following is NOT a measure of central tendency?
A) Mean
B) Median
C) Mode
D) Standard Deviation
11. What is the median of the dataset: 100, 10, 1, 1000, 100?
A) 10
B) 100
C) 1000
D) 101
12. Calculate the mean of the numbers: 1.5, 2.5, 3.5, 4.5.
A) 2.5
B) 3.0
C) 3.5
D) 4.0
13. If a dataset is perfectly symmetric, which is typically true?
A) Mean < Median < Mode
B) Mode < Median < Mean
C) Mean = Median = Mode
D) Mean = Mode, Median can be different
14. What does a frequency polygon connect?
A) The tops of the bars in a histogram
B) The midpoints of the upper sides of the bars in a histogram
C) The start and end points of the x-axis
D) The minimum and maximum values
15. Which term refers to the middle value of a dataset when arranged in order?
A) Mean
B) Mode
C) Median
D) Range
16. What is the median of the dataset: 4, 8, 2, 10, 6?
A) 2
B) 4
C) 6
D) 8
17. What is the sum of 5 numbers if their mean is 12?
A) 5
B) 17
C) 60
D) 144
18. If the mean is greater than the median, the distribution is likely:
A) Symmetric
B) Skewed to the left
C) Skewed to the right
D) Bimodal
19. In a histogram, the bars usually:
A) Have gaps between them
B) Touch each other
C) Represent individual data points
D) Are of varying widths
20. What is the mode of the numbers: 10, 12, 15, 12, 10, 12, 10?
A) 10
B) 12
C) 15
D) Neither 10 nor 12
21. Find the median of the dataset: 11, 15, 13, 17, 19, 12.
A) 12
B) 13
C) 14
D) 15
22. What is the mean of the following set of numbers: 1, 3, 5, 7, 9?
A) 3
B) 5
C) 7
D) 9
23. What does the 'Mean Absolute Deviation' measure?
A) The average distance of data points from the median
B) The average distance of data points from the mode
C) The average distance of data points from the mean
D) The range of the data
24. Which measure of central tendency is least affected by extreme values?
A) Mean
B) Median
C) Mode
D) Variance
25. If you have the following data: 2, 2, 3, 4, 4, 4, 5. What is the median?
A) 3
B) 4
C) 4.5
D) 5
26. What is the mode of the following values: 100, 120, 100, 150, 120, 100, 130?
A) 100
B) 120
C) 130
D) 150
27. In a scatter plot, what is represented on the horizontal axis?
A) The dependent variable
B) The independent variable
C) The frequency
D) The mean
28. If a dataset has no repeated values, what can be said about its mode?
A) The mode is the mean
B) The mode is the median
C) The dataset has no mode
D) The mode is 1
29. What is the median of the dataset: 1, 1, 2, 3, 5, 8, 13?
A) 1
B) 3
C) 5
D) 8
30. Calculate the mean of the first 10 natural numbers.
A) 5
B) 5.5
C) 6
D) 10
31. What is the sum of the deviations of each data point from the mean of the dataset?
A) Always zero
B) Always positive
C) Always negative
D) Equal to the mean
32. If the mean of a dataset is 50 and the median is 45, the dataset is likely:
A) Symmetric
B) Skewed to the left
C) Skewed to the right
D) Uniformly distributed
33. A line graph is most suitable for displaying:
A) Comparison of discrete categories
B) Distribution of a single variable
C) Trends over time
D) Proportions of a whole
34. What is the mode of the following scores: 88, 75, 92, 88, 75, 88, 95?
A) 75
B) 88
C) 92
D) 95
35. Find the median of the dataset: 2, 8, 4, 10, 6, 12.
A) 6
B) 7
C) 8
D) 9
36. What is the mean of the dataset: 15, 25, 35, 45?
A) 25
B) 30
C) 35
D) 40
37. In a pie chart, what does the entire circle represent?
A) The average value of all categories
B) The total number of observations
C) The sum of all proportions
D) 100% of the data
38. Which statistical measure is used to identify the most common occurrence in a dataset?
A) Mean
B) Median
C) Mode
D) Standard Deviation
39. Consider the dataset: 5, 1, 4, 2, 3. What is the median?
A) 1
B) 2
C) 3
D) 4
40. If the sum of 7 numbers is 140, what is their mean?
A) 10
B) 20
C) 30
D) 40
41. What is the mode of the numbers: 1, 2, 2, 3, 3, 3, 4, 4?
A) 2
B) 3
C) 4
D) 1
42. In a bar chart, what does the height of each bar typically represent?
A) The average value for that category
B) The frequency or count for that category
C) The cumulative total up to that category
D) The proportion of that category
43. Which measure of central tendency is most affected by outliers?
A) Median
B) Mode
C) Mean
D) Range
44. What is the median of the dataset: 10, 20, 30, 40, 50, 60?
A) 30
B) 35
C) 40
D) 45
45. Calculate the mean of the first five prime numbers.
A) 5.2
B) 5.6
C) 6.0
D) 7.2
46. 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 range of the data
47. If a dataset is skewed to the right, which of the following relationships typically holds true?
A) Mean < Median < Mode
B) Mode < Median < Mean
C) Median < Mean < Mode
D) Mean = Median = Mode
48. What is the mode of the following dataset: 5, 7, 5, 8, 9, 5, 7, 5?
A) 5
B) 7
C) 8
D) 9
49. Find the median of the dataset: 3, 7, 1, 9, 5.
A) 3
B) 5
C) 7
D) 9
50. What is the arithmetic mean of the numbers 2, 4, 6, 8, and 10?
A) 5
B) 6
C) 7
D) 8