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Graphical Representation of Data

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Graphical Representation of Data - Lesson Summary

Graphical representation of data helps in faster and easier interpretation of data.

Bar graph
A bar graph is a visual representation of data. A bar graph uses bars or rectangles of the same width but different heights to represent different values of data.



In a bar graph:

  • bars represent the data items whose values are to be plotted.
  • the bars have equal gaps between them.
  • the width of the bars does not matter.
  • the height of the bars represents different values of the data items.


Histogram
A histogram is a form of bar graph which is used for continuous class intervals.

In a histogram:
        •  the bars do not have gaps between them.
        •  the width of the bars is proportional to the class intervals of data.
        •  the height of the bars represents the different values of the variable.
        •  the area of each rectangle is proportional to its corresponding frequency.

Frequency polygon
A frequency polygon is formed by joining the midpoints of the adjacent rectangles in a histogram with line segments.

Class mark for a class interval =    Upper class limit + Lower class limit 2     .

A frequency polygon can also be formed by joining the class marks of the given data with line segments.

The midpoints at each end are joined to the immediately lower or higher assumed class interval of zero frequency. By this we can ensure that the area of a histogram is equal to the area enclosed by its corresponding frequency polygon. Frequency polygons are used to represent the data when the data is continuous and very large.

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