Final answer:
A bar graph uses spaced bars to represent variable categories, while a histogram has touching bars. Bar graphs are versatile for different data types, showing numerical values, quantities, or rates. Graph type choice depends on data representation and presentation purpose.
Step-by-step explanation:
In a bar graph, the bars that represent the categories of a variable are spaced so that one bar is not directly next to another; whereas in a histogram, the bars actually touch one another. Bar graphs are used to compare different categories or to show changes over time. The length of each bar in a bar graph represents the number or percent of individuals within that category, with the bars being either vertical or horizontal. For example, if the bars represent different countries or years, the vertical axis could show a numerical value such as the rate of growth, size, or quantity related to those countries or years.
Comparing various types of graphical representations like Pareto charts, line graphs, pie charts, and bar graphs can help illustrate different kinds of data efficiently. When choosing the best type of graph to display data, it's essential to consider what the data represents and how best to convey that information to the viewer. For instance, pie charts are typically used to show percentages or proportions within a whole, while bar graphs are effective for showing the total number or quantities across different categories. The choices often depend on the context and the purpose of the data presentation.