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Unit 4: Presentation of Data




          Percentage Sub-Divided  Bar  Diagram:  A sub-divided  diagram  is  used  to show  absolute  Notes
          magnitudes of various components. These magnitudes can be changed into relative by converting
          them as a percentage of the total.
          Pictogram: When numerical figures are represented by pictures, we get pictogram.
          Pie Diagram: In order to show proportions of various components, a circle can also be partitioned
          into sections in a similar manner as in component bar diagrams. Since there are 360º at the centre
          of a circle, these are divided in proportions to the magnitude of values of different items. The
          diagram, thus obtained is known as Angular Sector Diagram or more popularly as Pie Diagram.
          Pyramid Diagram: This diagram is used to represent the distribution of population according to
          sex, age, occupation, education, etc. The bars are drawn adjacently one above the other so as to
          look like a pyramid.
          Simple Bar Diagram: In case of a simple bar diagram, the vertical or horizontal bars, with height
          proportional to the value of the item, are constructed. The width of a bar is chosen arbitrarily
          and is kept constant for every bar.
          Sliding Bar Diagram: Sliding bar diagrams are similar to duo-directional bar diagrams. Whereas
          absolute values are shown by duo-directional bar diagrams,  the percentage is shown  using
          sliding bar diagrams. The length of each sliding bar is same, which represents 100%. The bars
          can be drawn horizontally or vertically.
          Sub-divided or  Component Bar  Diagram:  In  case  of  a  sub-divided bar  diagram,  the  bar
          corresponding to each phenomenon is divided into various components. The portion of the bar
          occupied by each component denotes its share in the total.

          4.7 Review Questions

          1.   Describe the merits and limitations of the diagrammatic presentation of data.

          2.   What are different types of diagram which are used in statistics to show salient characteristics
               of groups and series? Illustrate your answer with examples.
          3.   What are the advantages of presentation of data through diagram? Give brief description
               of various types of diagram.
          4.   Explain clearly the necessity and importance of diagrams in statistics. What precautions
               should be taken in drawing a good diagram?
          5.   Describe, with suitable examples, the following type of diagrams:
               (a)  Bar Diagram
               (b)  Multiple Bar Diagram

               (c)  Pie Diagram
               (d)  Pictogram
          6.   Describe, in brief, different types of two-dimensional diagrams.

          7.   Discuss the usefulness of diagrammatic representation of facts and explain how would
               you construct circular diagrams?











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