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(b)  From the table, the number of students against Jalebi is 6. Therefore, 6 students choose Jalebi.
                         (c)  Barfi was chosen by 3 students.            (d)  13 students choose Gujiya.
                         (e)  Rasgulla was choosen by 7 students         (f)  9 students choose Gulab Jamun.

                    Ex 2.  Sushri Sandhya asked her 27 students about the sizes of the shoes they wear. She noted the data on the
                          board as given below. Help her to figure out the following:                             (NCERT)
                         (a)  Arrange the data based on the shoe sizes of the students in ascending order.
                         (b)  Make a tally marks table of the raw data collected by Sushri Sandhya.
                         (c)  What is the largest shoe size in the class?           4    5   3   4    3   4    5   5   4
                         (d)  What is the smallest shoe size in the class?          5    5   4   5    6   4    3   5   6
                         (e)  How many students wear a size 5 shoe?                 4    6   4   5    7   5    6   4   5

                         (f)  How many students wear shoe sizes larger than 4?
                    Sol. (a)  Arrangement of data in ascending order is as follows:
                              3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7.
                         (b)      Shoe size (Variable)         Tally marks        Number of students (Frequency)
                                          3                         |||                        3
                                          4                       |||| ||||                    9
                                          5                       |||| ||||                    10

                                          6                        ||||                        4
                                          7                         |                          1
                                        Total                                                  27
                         (c)  The largest shoe size in the class is 7.   (d)  The smallest shoe size in the class is 3
                         (e)  There are 10 students who wear a size 5 shoe.
                         (f)  There are 10 + 4 + 1 = 15 students who wear shoe sizes larger than 4.
                    Ex 3.  In a mathematics test, the following marks were obtained (out of 10) by 40 students. Arrange these
                          marks in a table using tally marks.               8    1    3   7    6    5    5    4   4    2
                         (a)  How many students obtained marks equal to     4    9    5   3    7    1    6    5   2    7
                             or more than 7?                                7    3    8   4    2    8    9    5   8    6

                         (b)  How many students obtained marks below 4?     7    4    5   6    9    6    4    4   6    6
                    Sol.  Let us prepare a table using tally marks.
                                    Marks obtained               Tally marks            Number of students
                                           1                          ||                        2
                                           2                         |||                        3
                                           3                         |||                        3
                                           4                        |||| ||                     7
                                           5                         |||| |                     6
                                           6                        |||| ||                     7
                                           7                         ||||                       5
                                           8                         ||||                       4
                                           9                         |||                        3
                                         Total                                                  40
                         (a)  Number of students who obtained marks equal to or more than 7 = 5 + 4 + 3 = 12
                         (b)  Number of students who obtained marks below 4 = 2 + 3 + 3 = 8


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