Class 10 · ICSE · Mathematics

Graphical Representation

Histograms and ogives (cumulative frequency curves), and reading the median and quartiles from an ogive.

Questions: 13
PYQs: 0
Topics: 2

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Histogram0 Ogive and Cumulative Frequency1

Questions

13 questions in this chapter.

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Class 10 · Mathematics · Graphical Representation
The x-coordinate of the point where the less-than and more-than ogives of a distribution intersect gives the:
1 markMediumMCQ
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Class 10 · Mathematics · Graphical Representation
Draw a rough histogram for the distribution 0–10: 5, 10–20: 12, 20–30: 8, 30–40: 3, and mark the modal class.
3 marksMediumDiagram based
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Class 10 · Mathematics · Graphical Representation
Why must class intervals be converted to their exclusive form before a histogram is drawn?
3 marksMediumShort answer
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Class 10 · Mathematics · Graphical Representation
What is the inter-quartile range and how is it found from an ogive?
3 marksMediumShort answer
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Class 10 · Mathematics · Graphical Representation
What is an ogive, and what is read from the point where the two ogives of a distribution intersect?
3 marksMediumShort answer
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Class 10 · Mathematics · Graphical Representation
Explain the term cumulative frequency and state how the cumulative frequency of a class is obtained.
3 marksMediumShort answer
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Class 10 · Mathematics · Graphical Representation
A less-than ogive is drawn for 60 observations. Explain how the median, the lower quartile and the upper quartile are read from it.
4 marksMediumApplication based
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Class 10 · Mathematics · Graphical Representation
State two differences between a bar graph and a histogram.
3 marksMediumShort answer
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Class 10 · Mathematics · Graphical Representation
A less-than ogive for 50 students shows a cumulative frequency of 12 at 40 marks and 38 at 60 marks. How many students scored between 40 and 60 marks?
3 marksMediumApplication based
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Class 10 · Mathematics · Graphical Representation
The marks of 40 students are grouped into class intervals of width 10. Explain how the modal class is identified from a histogram of the data.
3 marksMediumApplication based
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Class 10 · Mathematics · Graphical Representation
For a distribution of 80 observations, state the cumulative frequencies at which the median, the lower quartile, the upper quartile and the 60th percentile are read from a less-than ogive.
4 marksMediumApplication based
Answer available
Class 10 · Mathematics · Graphical Representation
Why is an ogive always a rising curve?
3 marksMediumShort answer

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