Page 90 - New Medley 5 Semester 2
P. 90

4.  David was asked to solve 60 questions. He solved 80% of the assignment
                          without  his parents’ help.  How many  questions  did he  solve with  his
                          parents’ help to complete the assignment?

                     5.  Which amount is more—60% of `300 or 75% of `400?


                     6.  In a stadium, 15% seats are reserved for the first class. If the number


                          of  seats  for  the  first  class  is  9000,  find  the  number  of  total  seats  in
                          the stadium.

                                                             Average


               The  sum  of  two  or  more  numbers  divided  by  the  counting  of  numbers

               gives the result as an average. In other words, an average is a quotient
               obtained from the division of the total sum by the number of quantities.


               Consider the five numbers 4, 6, 9, 12 and 14.


                          Sum of these numbers = 4 + 6 + 9 + 12 + 14 = 45

                 Counting of these numbers = 5

                                                                 Sumof numbers                   45
                                             Average =                                      =        = 9
                                                              Countingof numbers                  5

               We  can  find  the  total  of  the  numbers  or  observations  by  multiplying  the

               average with the number of observations.

                                                              Sumofall observations
               Thus,                          Average =
                                                              Number of observations


               and  Sum of all observations = Average × Number of observations

               Properties of an Average


               Consider the average of following sets.

                                       Sum = 4 + 6 + 8 = 18 kg

                  4 kg      6 kg
                                       Number of values = 3


                       8 kg                            18
                                       Average =            = 6 kg
                                                        3


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