Question 1

Line graph is best to display data over time.

A line graph effectively illustrates trends and changes in data over a period, making it the most suitable choice for displaying data over time.

A) Bar graph

A bar graph is primarily used to compare quantities across different categories rather than to show changes over time. While it can represent time-related data if each bar represents a time period, it does not effectively convey trends in the same way a line graph does.

B) Line graph

A line graph is specifically designed to display data points over time, connecting them with lines to illustrate trends. This format allows for easy visualization of increases, decreases, and patterns over intervals, making it the optimal choice for temporal data representation.

C) Stem-and-leaf plot

A stem-and-leaf plot is used for displaying quantitative data in a way that retains the original data values while providing a visual representation of the distribution. However, it does not effectively communicate changes over time, making it less suitable for this purpose.

D) Box-and-whisker plot

A box-and-whisker plot is useful for showing the distribution and variability of a dataset but does not display data over time. It provides insights into the median, quartiles, and outliers rather than trends, which is essential when analyzing data chronologically.

Conclusion

The line graph is the definitive choice for displaying data over time due to its ability to clearly illustrate trends and changes. In contrast, the other options—bar graphs, stem-and-leaf plots, and box-and-whisker plots—serve different purposes that do not align with the need to visualize temporal data effectively.