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Quantitative Techniques – I




                    Notes          2.7 Review Questions

                                   1.  What do you mean by Classification and Tabulation? Explain their importance in statistical
                                       studies.

                                   2.  What are the different factors that should be kept in mind while classifying data?
                                   3.  Distinguish between classification and tabulation. Discuss the purpose and methods of
                                       classification.

                                   4.  What are objects of classification of data? Discuss different methods of classification.
                                   5.  Discuss the purpose, methods and importance of tabulation in any statistical investigation.
                                       Mention the types of tables generally used.

                                   6.  Distinguish between an ungrouped and a grouped frequency distribution. What are the
                                       points that should be taken into consideration while determining the following:
                                       (a)  Number of Groups

                                       (b)  Magnitude of Class-Intervals
                                       (c)  Class Limits.
                                   7.  Twenty students of a class appeared in an examination. Their marks out of 50 are as under:

                                       5, 6, 17, 17, 20, 21, 22, 22, 22, 25, 25, 26, 26, 30, 31, 31, 34, 35, 42, 48.
                                       Prepare a classified table by taking class intervals of 10 each, according to exclusive and
                                       inclusive methods.

                                   8.  Construct a frequency table for the following data by taking width of each class as 10. Use
                                       inclusive method of classification.
                                       30, 38, 43, 59, 82, 40, 45, 39, 83, 85, 72, 66, 45, 33, 53, 67, 70, 72, 52, 50, 43, 44, 60, 89, 67, 66, 78,
                                       32, 56, 47, 65, 56, 38, 84, 64, 52, 43, 33, 31, 35, 38, 39, 40, 37, 52, 53, 60.
                                       If these figures represent the age of persons approximated to the nearest whole number,
                                       construct the class boundaries.

                                   9.  The number of children in 50 families of a locality are given below. Construct an appropriate
                                       discrete frequency distribution.
                                       2, 2, 2, 3, 2, 4, 5, 4, 6, 8, 3, 3, 1, 4, 3, 1, 3, 3, 2, 1, 3, 3, 2, 4, 3, 5, 4, 3, 3, 2, 2, 5, 2, 5, 3, 3, 3, 4, 3, 5,
                                       4, 4, 2, 6, 3, 6, 3, 3, 7, 3.
                                   10.  Construct a frequency distribution of the marks obtained by 50 students in economics as
                                       given below:
                                       42, 53, 65, 63, 61, 47, 58, 60, 64, 45, 55, 57, 82, 42, 39, 51, 65, 55, 33, 70, 50, 52, 53, 45, 45, 25, 36,
                                       59, 63, 39, 65, 30, 45, 35, 49, 15, 54, 48, 64, 26, 75, 20, 42, 40, 41, 55, 52, 46, 35, 18.
                                       (Take the first class interval as 10 - 20)
                                   11.  The following figures give the ages, in years, of newly married husbands and their wives.
                                       Represent the data by an appropriate frequency distribution.
                                                 Age of Husband : 24 26 27 25 28 24 27 28 25 26
                                                   Age of Wife  : 17 18 19 17 10 18 18 19 18 19
                                                 Age of Husband : 25 26 27 25 27 26 25 26 26 26
                                                   Age of Wife  : 17 18 19 19 20 19 17 20 17 18





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