2.15: 饼形图

Pie Chart
JoVE Core
Statistics
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JoVE Core Statistics
Pie Chart

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01:04 min
April 30, 2023

Overview

A pie chart (or a pie graph) is a circular graphical chart or a pictorial representation of categorical data. It is divided into slices of pie each indicating numerical proportions. It is also used to show the relative sizes of data in a single chart.

In a pie chart, the central angle, the arc length of each slice, and the area are directly proportional to the quantity or percentage it represents. Some real-world examples that can be depicted using pie charts include marks obtained by students in a class, the monthly expenditure of a family, and the cost of construction of a house. With the help of a pie chart, one can easily compare the sum spent on steel, cement, and so on during construction. The actual sum spent on each individual expense can also be computed.

A pie chart's main advantages are that it is simple to use and easy for the audience to quickly analyze and understand information. However, if there is a lot of data, it may become challenging for readers to visualize and assimilate information using a pie chart.

Transcript

考虑一个总结了不同国家/地区 COVID-19 病例发生率的表格。这种具有频率计数的定性数据可以使用饼图表示,饼图是一个圆圈形式的图表,就像饼图一样。

那么,如何将表中的数据转换为饼图呢?

首先,将 A 国的 COVID 病例数除以所有 COVID 病例的总和。将此值乘以 360 度(一整圈的度数),得到相应国家/地区的扇形角。

同样,计算其他国家/地区的扇区角。使用这些扇形角,将圆划分为与给定类别数相等的切片。

请注意,COVID 病例的百分比频率也对应于其切片的大小。在这里,行业最大的国家 E 表示 COVID 病例的百分比最高。相比之下,扇区角最小的国家 F 显示的病例百分比最小。

Key Terms and definitions​

  • Pie Chart - A circular graphical representation of categorical data and proportions.
  • Sectors - The individual slices of a pie chart representing specific data.
  • Central Angle - In pie chart, an angle proportional to the represented data.
  • Categorical Data - Information that can be categorised into groups; often represented by pie charts.
  • Relative Frequency - The proportion of the total data value that an individual category represents.

Learning Objectives

  • Define Pie Chart – Understand its role in data visualization (e.g., pie chart).
  • Contrast Piechart and Bar Graph– Highlight key differences (e.g., categorical vs quantative data).
  • Explore Pie Chart Examples – Understand its usage in real-life scenarios (e.g., family expenses).
  • Explain Central Angle - Its connection to the data portion in a pie chart.
  • Apply Pie Charts in Context – Methodology for creating pie charts using raw data.

Questions that this video will help you answer

  • What is a pie chart and how does it represent categorical data?
  • How is central angle used in the construction of pie charts?
  • What are the advantages of using pie charts in data visualization?

This video is also useful for

  • Students – It assists in understanding data analysis and interpretation using pie charts.
  • Educators – Provides a comprehensive understanding of pie charts for teaching data visualization.
  • Researchers – Pie charts are vital for representing categorical data in research.
  • Statistics Enthusiasts – Offers a deeper understanding of data representation and analysis.