Best Graph for Observing Relationships Between Two Quantitative Variables

The best graph for observing the relationship between two quantitative variables is a 'scatterplot'.

A 'scatterplot' displays the relationship between two variables by plotting one variable on the x-axis and the other on the y-axis. Each data point is represented as a dot on the graph, with its position determined by the values of both variables. By observing the distribution and trends in the scatterplot, we can discern the relationship between the two variables, such as positive correlation, negative correlation, or no apparent relationship.

The other options are not suitable for visualizing relationships between two quantitative variables:

• 'Bar graph' is used to display the frequency of discrete variables or comparisons between categories.
• 'Histogram' is used to display the distribution of continuous variables.
• 'Ogive' is used to display the cumulative distribution of continuous variables.
• 'Stem and leaf plot' is used to display the distribution and shape of data.

Therefore, the answer is e. 'scatterplot'.