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Quantitative Techniques-II



                      Notes
                                           Example: Problem of Leg room is the answer by respondent. This should be placed
                                    either under Discomfort or Design but not both.
                                    (d)  Exhaustive Categories:  This should be made to include all responses including “Don’t
                                         Know” answers. Sometimes this will influence the ultimate answer to the research problem.

                                    (e)  Avoid Extremes: Avoid open ended class interval.
                                    Usage of Statistical Tools


                                    Frequency Distribution:  Frequency distribution, simply reports the number of responses that
                                    each question received. Frequency distribution, organizes data into classes or groups. It shows
                                    the number of data that falls into particular class.

                                           Example: Frequency distribution:

                                                    Income                           No. of people
                                        4000-6999                                        100
                                        7000-9999                                        122
                                        10000-12999                                      140
                                    In marketing research central value or tendency plays a very important role. The researcher
                                    may be interested in knowing the average sales/shop, average consumption per month etc. The
                                    population parameters can be calculated with the help of simple average. The average of sample
                                    may be taken as population parameter. E.g. If the average income of the population is to be
                                    computed, the researcher may select a sample, collect data on family income and calculate the
                                    relevant statistics which will be a representative of the population.

                                    The total purchasing power of the community can be estimated on sample average. If the sample
                                    is stratified, the purchasing power of each income class may also be estimated. The median
                                    figure will reveal that half the population has more income than the median income, and half
                                    the population has less income than median income. The mode will reveal the most common
                                    frequency. Based on this, shoppers can play their strategy to sell the product.
                                    The three most common ways to measure centrality or central tendency is mode, median and
                                    mean.

                                    Mode
                                    The mode is the central value or item, that occurs most often, when data is categorized in a
                                    frequency distribution, it is very easy to identify the mode, since the category in which the mode
                                    lies has the greatest number of observations.


                                           Example: Data regarding household income of 300 people as tabulated by researcher.
                                              Income ( )              Number (f)          Cumulative Frequency
                                        upto 10000                       30                      30
                                        10000-14999                      125                     155
                                        20000-24999                      50                      205
                                        25000-29999                      30                      235
                                        30000-34999                      33                      268
                                        35000-49999                      20                      288
                                                                                                           Contd...
                                        above 35000                      12                      300

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