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Quantitative Techniques – I




                    Notes
                                               Multiple Bar  Diagram of  the Faculty-wise  distribution of  students





















                                   5.  Percentage Sub-Divided Bar Diagram: A sub-divided diagram is used to show absolute
                                       magnitudes of various components. These magnitudes can be changed into relative by
                                       converting them as a percentage of the total. The length of each bar is taken as 100 and
                                       length of each component is  denoted by  its percentage  value. As  before the different
                                       components are distinguished from each other by different type of shades or colours.


                                          Example: The following table  gives the debt position of  Central Government as  the
                                   amount (  Crores) outstanding at the end of March 31 of each year. Represent the data by a
                                   percentage sub-divided bar diagram.
                                              Years          : 2007 08-   2008 - 09 2009 - 10 2010 - 11
                                              InternalDebt   :   58537     71039    86313    98646
                                              External Debt  :   16637     18153    20299    23223
                                              Other Liabilities :  38267   48422    59934    73692
                                              Total          :  113441    137614   166546    195561

                                   Solution: The amounts are given in  absolute  terms, therefore, these are to be converted  into
                                   percentages in order to show them on a percentage sub-divided bar diagram.

                                                                    -
                                              Years          : 2007 08    2008 - 09 2009 - 10 2010 - 11
                                              Internal Debt  :     51        52       52       50
                                              External Debt  :     15        13       12       12
                                              OtherLiabilities :   34        35       36       38
                                              Total          :    100       100       100      100


                                                          Percentage  Sub-divided Bar  Diagram












                                                           2007-08    2008-09   2009-10   2010-11    (Years)






          60                                LOVELY PROFESSIONAL UNIVERSITY
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