Page 161 - Revised Maths Wisdom Class - 6
P. 161

Data Handling and Presentation                                                                           159

        Solution:      (a)  Australia is the most preferred destination.      (b)   U.S. West is the least preferred destination.
                       (c)  Total number of vacationers = 15000 + 20000 + 15000 + 10000 + 40000 = 100000

                          Number of Vacationers visiting Australia = 40000
                          Hence, Required Percentage = (40000/100000) × 100 = 40%
                       (d)  Asia and U.S. East have equal number of vacationers, i.e., 15000

        Drawing a bar graph

        To draw a bar graph, we follow these steps:
        Step 1:  On a graph paper, we draw horizontal line (x-axis) and a vertical line (y-axis).
        Step 2:  Mark points at equal intervals along horizontal line. Below these points write the names of the data items
                 whose values are to be plotted.
        Step 3:  Choose a suitable scale. On that scale determine the height of the bars for the numerical values.
        Step 4:  Mark these heights parallel to the y-axis from the points taken in step 2.

        Step 5:  On the horizontal line, draw bars of equal width for the heights marked in step 4.
        Let us learn through examples.


              ILLUSTRATIONS

        Example 1:  The number of cycles produced by a factory in a week during Monday–Friday is given as below:

                             Mon                Tue                Wed                Thu                Fri
                             800                900                1200               900               1400

                      Draw a bar graph to represent the above information.

        Solution:    Steps to draw the bar graph are as follow:
                     Step 1:  On a graph paper draw a horizontal and vertical line.

                     Step 2:  Along a horizontal line, mark the days at points taken at equal distance.
                     Step 3:  Choose the scale as 1 division = 100 cycles.
                                                                                      Y
                     Step 4:  The heights of bars are as follows:                          Scale: 1 unit = 100 cycles
                                                                                    14
                                                 1                                  13
                     Production on Monday =         × 800 = 8  division
                                                              th
                                               100                                  12                          1400
                                                 1                                  11
                     Production on Tuesday =        × 900 = 9  division             10
                                                              th
                                               100                                   9                1200
                                                   1                                 8                     900
                     Production on Wednesday =        × 1200 = 12  division                     900
                                                                  th
                                                  100                                7     800
                                                  1                                  6
                     Production on Thursday =        × 900 = 9  division        No. of Cycles  5
                                                               th
                                                100                                  4
                                               1
                     Production on Friday =       × 1400 = 14  division              3
                                                              th
                                              100                                    2
                     Step 5:   Draw bars of equal width and height as                1
                               calculated in the step 4 at the points marked         0   Mon   Tue  Wed  Thu   Fri  X
                               in step 2 as shown in the bar graph.                              Days
   156   157   158   159   160   161   162   163   164   165   166