Consider the following statements:1. Pie diagrams are suitable for cat...
Statement 1: Pie diagrams are suitable for categorical data.
A pie diagram, also known as a pie chart, is a circular statistical graph that is used to represent categorical data. It is divided into sectors, where each sector represents a different category or component of the data being represented. The size of each sector is proportional to the percentage or proportion of the data it represents.
Pie diagrams are particularly useful for displaying data that can be categorized into distinct groups or categories. They provide a visual representation of how the data is distributed among these categories, allowing for easy comparison and analysis. For example, a pie diagram can be used to represent the distribution of different types of cars sold in a given month, with each sector representing a specific car model.
Therefore, statement 1 is correct.
Statement 2: The arc length of a sector of a pie diagram is proportional to the value of the component represented by the sector.
In a pie diagram, the arc length of each sector is determined by the proportion or percentage of the data it represents. The total angle formed by the sectors in a pie diagram is 360 degrees, representing the whole or 100% of the data.
Since the arc length represents the proportion of the data, it is directly proportional to the value of the component it represents. The larger the value or proportion of the data, the larger the arc length of the corresponding sector. This allows for a visual comparison of the different components and their relative sizes within the data set.
For example, if a pie diagram represents the distribution of fruits in a basket, and the sector representing apples has a larger arc length than the sector representing oranges, it indicates that there are more apples than oranges in the basket.
Therefore, statement 2 is also correct.
Conclusion:
Both statement 1 and statement 2 are correct. Pie diagrams are indeed suitable for categorical data, and the arc length of each sector in a pie diagram is proportional to the value of the component it represents.