Page 258 - ICSE Math 7
P. 258

Example 11:  The number of students in six different classes are given. Represent the data on a bar
                                  graph.

                                           Classes             V         VI        VII       VIII       IX        X

                                    Number of students        135        120       95        100        90        80


                                  (a)  How would you choose a scale?
                                  (b)  Which classes have the maximum and minimum number of students?

                                  (c)  Find the ratio of students of class VI to the students of class VIII.
                    Solution:     (a)  Choose a suitable scale as follows:

                                      Start the scale at 0. The greatest value in the data is 135. So, end the scale at a value
                                      greater than 135, say 140. Use equal divisions along the vertical axis to choose a
                                      scale such that the length between 0 and 140 is neither too long nor too small. Let’s
                                      take 1 unit to represent 20 students.

                                                              Number of students in each class

                                            Y
                                                                                 Scale on Y-axis: 1 unit = 20 students
                                          140

                                          120

                                         Number of students  →  80
                                          100





                                           60

                                           40


                                           20

                                            0                                                                      X
                                                     V          VI        VII       VIII       IX         X
                                                                            Classes

                                  (b)  Clearly Class V has maximum number of students and Class X has minimum
                                      number of students.
                                  (c)  Ratio of students of class VI to the students of class VIII is 120 : 100, i.e., 6 : 5.


                    Multiple bar graphs

                    A single bar graph uses one bar for each value to represent the data. A multiple bar graph gives
                    information of more than one type side by side.

                    Example 12: Study the multiple bar graph of the top five medal winning countries in a Commonwealth
                                  Games. The three adjacent bars corresponding to each country represent the number of
                                  medals of each type won.


                244
   253   254   255   256   257   258   259   260   261   262   263