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Quantitative Techniques – I




                    Notes          23.  The annual rates of growth of output of a factory in five years are 5.0, 6.5, 4.5, 8.5 and 7.5
                                       percent respectively. What is the compound rate of growth of output per annum for the
                                       period?
                                   24.  Premier Automobiles Ltd. does statistical analysis for an automobile racing team. Here
                                       are the fuel consumption figures in Kilometer per litre for the team’s cars in the recent
                                       races.
                                       4.77      6.11   6.11   5.05    5.99   4.91   5.27   6.01
                                       5.75      4.89   6.05   5.22    6.02   5.24   6.11   5.02

                                       (a)  Calculate the median fuel consumption.
                                       (b)  Calculate the mean fuel consumption.
                                       (c)  Group the given data into equally sized classes. What is the fuel consumption value
                                            of the modal classes.
                                        (d)  Which of the three measures of central tendency is best for Allison to use when she
                                            orders fuel? Explain.

                                   Answers: Self  Assessment

                                   1.  Summarization                     2.   tables, frequency distributions

                                   3.  measure of central tendency       4.   average
                                   5.  congregate                        6.   averages
                                   7.  Mathematical                      8.   False

                                   9.  False                             10.  False
                                   11.  False                            12.  False
                                   13.  (b)                              14.  (a)
                                   15.  (c)                              16.  True
                                   17.  True                             18.  True

                                   19.  True                             20.  True
                                   21.  True                             22.  Mode
                                   23.  most typical value               24.  three times

                                   25.  True                             26.  True
                                   27.  zero                             28.  AM > GM > HM.

                                   6.9 Further Readings




                                   Books       Balwani Nitin Quantitative Techniques, First Edition: 2002. Excel Books, New Delhi.
                                               Bhardwaj R.S., Business Statistics, Excel Books.
                                               Garrett H.E. (1956), Elementary Statistics, Longmans, Green & Co., New York.







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