Which graph is described as a frequency distribution where data points are connected by straight lines?

Which graph is described as a frequency distribution where data points are connected by straight lines?

• A. Frequency polygon (line graph)
• B. Stem-and-leaf plot
• C. Box-plots
• D. Histogram

Answer: (A)

To visualize how often data occur across different ranges, you plot the frequency for each class interval at its midpoint and then connect those points with straight lines. This creates a continuous line that outlines the distribution, called a frequency polygon (also described as a line graph). It’s the line-graph version of a histogram, which uses bars instead of connecting lines. The other options serve different purposes: a stem-and-leaf plot shows actual data values in a compact list form, a box plot summarizes spread and quartiles without tracing a line across intervals, and a histogram uses adjacent bars to display frequencies but does not form a connected line.

To visualize how often data occur across different ranges, you plot the frequency for each class interval at its midpoint and then connect those points with straight lines. This creates a continuous line that outlines the distribution, called a frequency polygon (also described as a line graph). It’s the line-graph version of a histogram, which uses bars instead of connecting lines. The other options serve different purposes: a stem-and-leaf plot shows actual data values in a compact list form, a box plot summarizes spread and quartiles without tracing a line across intervals, and a histogram uses adjacent bars to display frequencies but does not form a connected line.