Questions: In 2015 the Council of Europe published a report entitled The European School Survey Project on Alcohol and Other Drugs. The survey investigated the percentages of 16-year-olds who had used marijuana. The results for 37 European countries are in the appropriate graph of these data, and describe the distribution. Choose the correct graph below.

Solution Steps

The question asks for the appropriate graph to represent the percentages of 16-year-olds who have used marijuana in 37 European countries. Since we are dealing with percentages for different countries, we need a graph that displays the frequency distribution of these percentages.

• Option A and B: Both options show histograms. Histograms are suitable for displaying the distribution of a single numerical variable. The x-axis represents the percentage intervals, and the y-axis represents the number of countries falling into each interval. This is the appropriate graph type for this data.

• Option C: This option displays a scatterplot. Scatterplots are used to show the relationship between two numerical variables. This is not appropriate for this data as we are analyzing the distribution of a single variable (percentage).

Between options A and B, option A appears to have more appropriate bin sizes for the given data. The bins in A capture the distribution more effectively and show more detail in the distribution, such as peaks between 10-20% and 20-30%. Option B groups the data predominantly in one large bar between 20-40%, thereby obscuring potentially useful details within the data spread.

Final Answer