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19.2 Interpreting and drawing line graphs



               19.2 Interpreting and drawing line graphs


               Line graphs show how data changes over a period of time. A line graph shows a trend.
               You can draw more than one line on a line graph, to help you to compare two sets of data.
               You can also use a line graph to predict what will happen in the future.


               Worked example 19.2

                  The table shows the population of the USA, every 10 years, from 1950 to 2010.
                  Each figure has been rounded to the nearest 10 million.
                         Year          1950 1960 1970 1980 1990 2000 2010

                  Population (millions)  150  180   200    230   250    280   310
                a  Draw a line graph for this data.
                b  Describe the trend in the population.
                c  Use your graph to estimate the population of the USA in 1985.
                d  Use your graph to predict the population of the USA in 2020.

                a                                                        Plot time on the horizontal axis. Start at
                                    Population of the USA, 1950–2010
                                                                         1950 and extend the axis as far as 2020
                                                                         so that you can answer part d of the
                       Population (millions)  300                        Plot population on the vertical axis. Start
                        350
                                                                         question.
                        250
                                                                         at 100 (million) and extend the axis to
                        200
                                                                         approximately 350 (million) so that you
                        150
                        100
                                                                         Plot all the points and join them, in
                          1950  1960  1970  1980  1990  2000  2010  2020  can answer part d of the question.
                                              Year                       order, with straight lines.
                                                                         Remember to label the axis and give the
                                                                         graph a title.
                b   The population of the USA is increasing.     Describe what the line graph is showing.
                    Every 10 years the population increases by     Give some figures in your answer to show you clearly
                    20 or 30 million.                         understand the graph.
                c  240 million                                  Draw a line on the graph (shown in red) up from 1985
                                                              and across to the population axis, and read the value.
                d  340 million                                  Extend the line on the graph (shown in green). Make
                                                              sure it follows the trend. Read the value from the
                                                              population axis (shown by the green dotted line).


               )     Exercise 19.2

               1  The table shows the average monthly rainfall in Lima, Peru.

                        Month        Jan   Feb   Mar   Apr   May   Jun   Jul   Aug   Sep  Oct   Nov   Dec

                     Rainfall (mm)    1.2   0.9   0.7   0.4   0.6  1.8   4.4   3.1   3.3   1.7  0.5   0.7
                  a  Draw a line graph for this data.
                  b  Describe the trend in the data.
                  c  Between which two months was the greatest increase in rainfall?
      180      19 Interpreting and discussing results
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