histogram, frequency polygon, bar diagram, pie chart - Question Bank

1. What is the primary advantage of using a frequency polygon over a histogram for comparing distributions?
A) It shows gaps between data points.
B) It is easier to overlay multiple frequency polygons on the same axes.
C) It represents parts of a whole.
D) It uses curved lines.
2. A bar chart where the bars are drawn horizontally is called a:
A) Vertical Bar Chart
B) Horizontal Bar Chart
C) Histogram
D) Pie Chart
3. When constructing a histogram, the data must first be grouped into:
A) Individual data points
B) Categories
C) Class intervals or bins
D) Proportions
4. If a pie chart shows the market share of different companies, each slice represents:
A) The absolute sales figure of a company.
B) The relative proportion of a company's market share.
C) The total market size.
D) The number of customers of a company.
5. What is the main purpose of using a frequency polygon in addition to a histogram?
A) To show individual data points.
B) To make the data discrete.
C) To easily compare the shapes of two or more frequency distributions.
D) To represent parts of a whole.
6. Which of the following is NOT a type of chart used for data visualization?
A) Histogram
B) Frequency Polygon
C) Bar Diagram
D) Algorithm
7. A histogram provides a visual representation of the:
A) Proportional breakdown of a whole.
B) Frequency distribution of continuous data.
C) Comparison of discrete categories.
D) Cumulative counts.
8. In a bar diagram, the width of the bars is:
A) Always proportional to the frequency.
B) Always equal and separated by gaps.
C) Variable and dependent on the data range.
D) Proportional to the class interval.
9. Which chart type is least suitable for showing small differences between categories that represent a large whole?
A) Bar Diagram
B) Pie Chart
C) Histogram
D) Ogive
10. The sum of frequencies in a frequency distribution is equal to the:
A) Total number of classes
B) Total number of data points
C) Average frequency
D) Range of the data
11. A frequency polygon is essentially a line graph connecting the:
A) Lower and upper limits of class intervals
B) Frequencies of consecutive classes
C) Midpoints of the tops of histogram bars
D) Cumulative frequencies
12. If you want to compare the sales figures of five different stores for a particular month, which chart would be the most appropriate?
A) Histogram
B) Frequency Polygon
C) Pie Chart
D) Bar Diagram
13. What information can be directly read from the y-axis of a histogram?
A) The range of the data values.
B) The frequency or relative frequency of each interval.
C) The total number of data points.
D) The class width.
14. The term 'frequency density' is crucial when constructing a histogram with:
A) Equal class intervals
B) Unequal class intervals
C) Discrete data
D) Categorical data
15. A pie chart is most effective when:
A) There are many small categories.
B) Comparing precise differences between categories.
C) Showing the composition of a whole with a limited number of categories.
D) Displaying trends over time.
16. Which chart type is ideal for displaying the distribution of a single continuous variable?
A) Bar Diagram
B) Pie Chart
C) Histogram
D) Line Graph
17. What is the primary visual characteristic that distinguishes a histogram from a bar chart?
A) The presence of gaps between bars in a histogram.
B) The adjacency of bars in a histogram representing continuous data.
C) The use of circles in a histogram.
D) The representation of proportions in a histogram.
18. Which graphical representation uses symbols to represent data?
A) Histogram
B) Bar Diagram
C) Pie Chart
D) Pictogram
19. In a histogram, if the class intervals are of equal width, the height of the bars is directly proportional to the frequency. If the intervals are unequal, the height is proportional to:
A) Frequency
B) Class Width
C) Frequency Density
D) Cumulative Frequency
20. When comparing the frequencies of distinct items or categories, which chart is most suitable?
A) Histogram
B) Pie Chart
C) Bar Diagram
D) Frequency Polygon
21. Which chart is best for showing a trend over time for a single variable?
A) Histogram
B) Pie Chart
C) Line Graph
D) Bar Diagram
22. A bar diagram where the bars are arranged in ascending or descending order of magnitude is called a:
A) Histogram
B) Pie Chart
C) Pictogram
D) Sorted Bar Chart
23. What does the y-axis usually represent in a frequency polygon?
A) Class intervals
B) Class marks
C) Frequency
D) Cumulative frequency
24. What does the x-axis usually represent in a frequency polygon?
A) Frequency
B) Class intervals
C) Class marks or midpoints of intervals
D) Cumulative frequency
25. An ogive is plotted by joining the points representing:
A) Class marks and frequencies
B) Class limits and cumulative frequencies
C) Class intervals and relative frequencies
D) Midpoints and frequencies
26. Which of the following is a graphical representation of the cumulative frequency distribution?
A) Histogram
B) Frequency Polygon
C) Ogive
D) Bar Diagram
27. A frequency polygon can be used to compare the shapes of distributions for multiple datasets by:
A) Drawing them on separate charts
B) Overlaying them on the same set of axes
C) Using different colors for each dataset
D) Both B and C
28. In a histogram with unequal class intervals, the height of the bar is adjusted to be proportional to:
A) The frequency
B) The class width
C) The frequency density (frequency / class width)
D) The cumulative frequency
29. If you have data on the monthly sales of different products, which chart would be most appropriate to show the contribution of each product to the total sales?
A) Histogram
B) Bar Diagram
C) Pie Chart
D) Frequency Polygon
30. Which chart type is generally not recommended for comparing more than 5-6 categories effectively due to visual clutter?
A) Histogram
B) Bar Diagram
C) Pie Chart
D) Frequency Polygon
31. What is the primary advantage of a pie chart?
A) It clearly shows trends over time.
B) It is excellent for comparing many categories with precise differences.
C) It effectively visualizes the relative sizes of parts to a whole.
D) It is ideal for displaying continuous data distributions.
32. The sum of the angles of all sectors in a pie chart is:
A) 90 degrees
B) 180 degrees
C) 270 degrees
D) 360 degrees
33. In a pie chart, the angle of each sector is proportional to:
A) The frequency of the category
B) The class width
C) The proportion or percentage of the category
D) The cumulative frequency
34. A pie chart represents data as:
A) Bars of varying heights
B) Slices of a circle
C) Points on a line
D) Connected lines
35. Which chart type is most suitable for showing the proportion of different categories that make up a whole?
A) Histogram
B) Bar Diagram
C) Frequency Polygon
D) Pie Chart
36. What is a key characteristic of bars in a bar diagram?
A) They represent continuous ranges.
B) They have equal width and are separated by equal gaps.
C) Their area represents frequency.
D) They are always adjacent.
37. The height of each bar in a bar diagram represents:
A) The class mark
B) The frequency or value of the category
C) The proportion of the total
D) The cumulative frequency
38. In a bar diagram, the bars are:
A) Always adjacent
B) Separated by gaps
C) Of varying widths
D) Representing class intervals
39. A bar diagram is used to compare:
A) Continuous data distributions
B) Discrete categories or groups
C) Cumulative frequencies
D) Proportions of a whole dataset
40. How is a frequency polygon typically closed at both ends?
A) By extending the last frequency value
B) By connecting the first and last midpoints to points on the x-axis representing the preceding and succeeding class intervals with zero frequency.
C) By adding extra bars with zero frequency
D) By leaving it open
41. What is the purpose of a frequency polygon?
A) To show parts of a whole
B) To compare frequencies of discrete categories
C) To visualize the shape of a distribution and compare multiple distributions
D) To represent cumulative data
42. A frequency polygon is best constructed by joining the midpoints of the tops of the bars of a:
A) Bar Diagram
B) Pie Chart
C) Histogram
D) Line Graph
43. When are the bars in a histogram adjacent to each other?
A) When the data is discrete
B) When the data is categorical
C) When the data is continuous and the class intervals are contiguous
D) When representing cumulative frequency
44. What does the y-axis typically represent in a histogram?
A) Class intervals
B) Data values
C) Frequency or relative frequency
D) Proportions
45. What does the x-axis typically represent in a histogram?
A) Frequency
B) Class intervals or bins
C) Cumulative frequency
D) Percentage
46. The area of each bar in a histogram is proportional to:
A) The class mark of the interval
B) The class width of the interval
C) The frequency of the interval
D) The cumulative frequency
47. What is the primary difference between a histogram and a bar diagram?
A) Histograms have gaps between bars, bar diagrams do not.
B) Histograms represent continuous data, bar diagrams represent discrete or categorical data.
C) Histograms use vertical bars, bar diagrams use horizontal bars.
D) Histograms show proportions, bar diagrams show frequencies.
48. In a histogram, the bars represent:
A) Individual data points
B) Classes or bins of data
C) Cumulative frequencies
D) Proportions of a whole
49. A histogram displays the distribution of which type of data?
A) Categorical Data
B) Discrete Data
C) Continuous Data
D) Ordinal Data
50. What type of chart is used to represent the frequency distribution of continuous data?
A) Pie Chart
B) Bar Diagram
C) Histogram
D) Line Chart
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