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Quantitative Techniques – I




                    Notes              undertake a particular investment or not. The answer to such problems are provided by
                                       the statistical techniques of decision-making under uncertainty.



                                     Did u know? Among the noteworthy Indian scholars who contributed to statistics are P.C.
                                     Mahalnobis, V.K.R.V. Rao, R.C. Desai and P.V. Sukhatme.
                                   Self Assessment


                                   State whether the following statements are true or false:
                                   11.  Honesty,  intelligence,  colour  of  eyes,  beauty,  etc.  all  are  examples  of  qualitative
                                       characteristics.
                                   12.  Statistics deals only with groups and not with individuals.
                                   13.  Statistical results are surely true.
                                   14.  Statistics are liable to be misused.
                                   15.  Statistics must be used by anybody.




                                      Task  Elucidate the following statements:
                                     1.   “The successful businessman is one whose estimates closely approaches accuracy.”

                                     2.   “All its best science is statistical.”
                                     3.   “Statistical results are very general estimates rather than exact statements”.

                                   1.4 Limitations of Statistics

                                   Like every other science, statistics also has its limitations. In order to have maximum advantage
                                   from the use of statistical methods, it is necessary to  know their limitations. According  to
                                   Newshome, “It (statistics) must be regarded as an instrument of research of great value, but
                                   having severe limitations, which are not possible to overcome and as such they need our careful
                                   attention.” The science of statistics suffers from the following limitations:

                                   1.  Statistics deals with numerical facts only: Broadly speaking there are two types of facts,
                                       (a) quantitative and (b) qualitative facts.
                                       Quantitative facts are capable of being represented in the form of numerical figures and
                                       therefore, are also known as numerical facts. These facts can be analysed and interpreted
                                       with the help of statistical methods. Qualitative facts, on the other hand, represent only
                                       the qualitative characteristics like honesty, intelligence, colour of eyes, beauty,  etc. and
                                       statistical methods cannot be used to study  these types  of characteristics. Sometimes,
                                       however, it is possible to make an indirect study of such  characteristics through their
                                       conversion into numerical figures. For example, we may assign a number 0 for a male and
                                       1 for a female, etc.
                                   2.  Statistics  deals  only  with  groups  and  not  with  individuals: Statistical  studies  are
                                       undertaken to study the characteristics of a group rather than individuals. These studies
                                       are done to compare the general behaviour of the group at different points of time or the
                                       behaviour of different groups at a particular point of time. For example, the economic
                                       performance of a country in a year is measured by its national income in that year and by




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