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Quantitative Techniques – I




                    Notes            A statistical series can be one of the following four types: (i) Spatial Series, (ii) Conditional
                                     Series, (iii) Time Series and (iv) Qualitative or Quantitative Series
                                     The series formed by the geographical or spatial classification is termed as spatial series.
                                     Similarly, a series formed by the conditional classification is known as the conditional
                                     series. The examples of such series are already given under their respective classification
                                     category.
                                     Time Series

                                     A time series is the result  of chronological  classification of data. In  this case,  various
                                     figures are arranged with reference to the time of their occurrence. For example, the data
                                     on exports of India in various years is a time series.
                                     Year               : 1980 1981 1982 1983 1984 1985 1986 1987 1988
                                     Exports (in   cr.)  : 6591 7242 8309 8810 9981 10427 11490 15741 20295
                                     Qualitative or Quantitative Series

                                     This type of series  is obtained  when the  classification of data is  done on  the basis of
                                     qualitative or quantitative characteristics. Accordingly, we can have two types of series,
                                     namely, qualitative and quantitative series.
                                     Qualitative Series:
                                     In case of qualitative series, the number of items in each group are shown against that
                                     group. These groups are either expressed in ascending order or in descending order of the
                                     number of items in each group. The example of such a series is given below.
                                                    Distribution of  Students of  a College  according to  Sex

                                                            Sex       Males  Females  Total
                                                       No. of  Students  1700  500    2200

                                     Quantitative Series
                                     In case of quantitative series, the number of items possessing a particular value are shown
                                     against that value.
                                     A quantitative series can be of two types (1) Individual Series, and (2) Frequency distribution.
                                     1.   Individual series: In an individual series, the names of the individuals are written
                                          against their corresponding values. For example, the list of employees of a firm and
                                          their respective salary in a particular month.
                                     2.   Frequency Distribution: A table in which the frequencies and the associated values
                                          of a variable are written side by side, is known as a frequency distribution. According
                                          to Croxton and Cowden, “Frequency distribution is a statistical table which shows
                                          the set of all distinct values of the variable arranged in order of magnitude, either
                                          individually or in a group with their corresponding frequencies side by side.” A
                                          frequency distribution can be discrete or continuous depending upon whether the
                                          variable is discrete or continuous.

                                     Questions :
                                     1.   What is meant by statistical series?
                                     2.   Differentiate between quantitative and qualitative series with an example of each.
                                     3.   Explore your knowledge for different types of statistical series.





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