Graph Matching: Understanding Chart Applications

This question requires matching different types of graphs (List-I) with their primary applications (List-II). Let's break down each graph type and its use:

Analyzing Graph Types and Applications

• (a) Histogram: A histogram is used to represent the distribution of **continuous data**. It groups data into bins (intervals) and shows the frequency of data points within each bin. This helps visualize the shape of the data distribution (e.g., skewed, normal). The application that best fits this description is (iii) Continuous Data.
• (b) Bar Graph: Bar graphs are excellent for comparing quantities across different discrete **categories**. Each bar represents a category, and its height or length shows the value or frequency for that category. This is ideal for the (iv) Comparison of categories.
• (c) Pie Chart: A pie chart represents data as slices of a circle, where each slice's size is proportional to the quantity it represents. It's fundamentally used to show how a whole is divided into parts, illustrating the (ii) Part to whole relationship.
• (d) Frequency Polygon: A frequency polygon is typically created by plotting points corresponding to the frequency of each class interval and then connecting these points with straight line segments. It's often used to visualize the shape of a distribution and is particularly useful when comparing multiple distributions. It connects the (i) Joining mid-points of the class intervals (often the mid-points of the tops of histogram bars).

Matching Lists

Based on the analysis above, the correct matches are:

• (a) Histogram matches with (iii) Continuous Data.
• (b) Bar Graph matches with (iv) Comparison of categories.
• (c) Pie Chart matches with (ii) Part to whole.
• (d) Frequency Polygon matches with (i) Joining mid-points.

Resulting Match

Therefore, the correct combination is (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i).

This corresponds to the matching pair (a)-(iii), (b)-(iv), (c)-(ii), (d)-(i).