Statistics — Practice Quiz
Madhya Pradesh Board · Class 9 · Mathematics
Try a 4-question quiz on Statistics for Madhya Pradesh Board Class 9 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Statistics
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What is the main advantage of graphical representation of data over tabular representation?
In a bar graph, what determines the height of each bar?
What type of graph is best suited for representing continuous class intervals?
When constructing a histogram with varying class widths, what must be adjusted to ensure correct representation?
Sample Questions
Which of the following are characteristics of a histogram? (Select all correct answers)
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Used for continuous class intervals, Areas of rectangles are proportional to frequencies, Width of bars plays a significant role
A histogram is used for continuous class intervals, has no gaps between rectangles, and the areas of rectangles are proportional to frequencies. Unlike bar graphs, the width of bars is significant in histogram construction.
Which of the following statements about frequency polygons are correct? (Select all correct answers)
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They are formed by joining midpoints of histogram bars, They are useful for comparing two datasets, They are used when data is continuous and very large, They always have the same area as the corresponding histogram
Frequency polygons are created by joining midpoints of histogram rectangles, are useful for comparing datasets, work with continuous large data, and maintain the same area as the histogram when properly constructed.
To complete a frequency polygon, what is added at the beginning and end?
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Class intervals with zero frequency
To complete a frequency polygon, we assume class intervals with zero frequency before the first class and after the last class. This helps make the area of the polygon equal to the area of the histogram.
In a histogram, if all class intervals have equal width, what is proportional to the frequency?
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Length of rectangles
When all class intervals have equal width in a histogram, the lengths (heights) of rectangles are proportional to frequencies. This is because area = length × width, and with constant width, length determines the area.
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