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Tally Marks
            We  use  pictographs  to represent data with
            small  numbers.  For large numbers, it  is  not

            possible to draw so many pictures. Thus, we                         Mental Maths
            draw tally marks to represent such numbers.                 Fill in the blanks using tally marks.
                                                                        (a)  Your age __________
            Tally  marks  are  vertical  lines.  We  draw  one
            vertical line for one observation. After drawing            (b)   The number of days in the month
                                                                           you were born __________
            the four lines vertically, for the fifth observation,       (c)  Your weight __________ (in kg)

            we draw a line crossing the four vertical lines
            as shown,  | | | |.  Thus,  each  | | | | represents

            five observations.
            Example 3:  The given table shows the number of passengers of a train who booked their
                          tickets for four different stations.

                                                                                                Number of
                             Stations                        Tally Marks
                                                                                                Passengers

                             Station 1       | | | | | | | | | | | | | | | | | | | | | | | | | | |      33






                             Station 2       | | | | | | | | | | | | | | | | | |                     22




                             Station 3       | | | | | | | | | | | | | | | | | | | |                 24




                             Station 4       | | | | | | | | | | | | | | | |                         20



                                                                 Total                               99
                          Read the data carefully and answer the following questions.
                          (a)  For which station did the maximum passengers book their tickets?
                          (b)  For which station did the minimum passengers book their tickets?
                          (c)  How many passengers booked their tickets for station 3?
                          (d)   What is  the total  number  of  passengers  who  booked their tickets for

                               station 1 and station 4?
            Solution:     (a)  The maximum passengers booked their tickets for station 1.

                          (b)  The minimum passengers booked their tickets for station 4.
                          (c)  24 passengers booked their tickets for station 3.

                          (d)  Number of passengers who booked their tickets for station 1 were 33.

                               Number of passengers who booked their tickets for station 4 were 20.
                                 Total number of passengers who booked their tickets for stations 1 and 4
                               = 33 + 20 = 53

                               So, 53 passengers booked their tickets for station 1 and station 4.

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