Given a graph that displays the frequency of data within specified intervals using adjacent rectangular bars, which type of graph is being shown?

• A. Scatterplot
• B. Histogram
• C. Line graph
• D. Bar graph

Answer: (B)

Verified step by step guidance

1. Understand the characteristics of each graph type mentioned: a scatterplot displays individual data points plotted on two axes, a line graph connects data points with lines to show trends over time, a bar graph uses separate bars to compare categories, and a histogram uses adjacent bars to represent frequency distributions of continuous data intervals.
2. Note that the problem describes a graph with adjacent rectangular bars representing frequencies within specified intervals, which suggests the data is grouped into continuous intervals without gaps between bars.
3. Recall that a histogram is specifically designed to show the frequency distribution of continuous data by using adjacent bars where the height of each bar corresponds to the frequency of data within each interval.
4. Contrast this with a bar graph, where bars are typically separated by gaps and represent categorical data rather than continuous intervals.
5. Conclude that the graph described is a histogram because it uses adjacent bars to display frequencies of data within continuous intervals.