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Bar Diagram and Pie Chart

Bar diagrams and pie charts are used extensively in mathematics to demonstrate the statistical data. Bar Diagrams represent information using a sequence of bars while pie charts represent information in circular form.

The primary distinction between pie charts and bar diagrams is their visual appearance. A pie chart categorizes various data into segments. Bar charts display them horizontally or vertically.

To make pie charts, you must determine the relative value or the measured values. Bar charts show the absolute values; however, they do not require any measurements. The pie chart describes the statistical data through a circle diagram, while the bar diagram describes statistical data through lines and boxes. So, we learn about the definition of Pie charts and bar diagrams. 

Definition of Pie Chart and Bar Diagram

Bar Diagram

Bar Diagrams represent information using a sequence of bars spanning two axes. The x-axis (the horizontal) categorizes the data into a group, with one bar representing each group. On the Y-axis, the exact numerical value of the given group is described. 

Pie Chart

Essentially, a pie chart shows data as circular bars, with each slice representing a portion of the data. A pie chart is a visual representation of data in the form of numerical and categorical variables. According to a pie chart, the angle, area, and length of each slice are proportional to the amount it represents. So, it’s all about the definition of Pie Chart and bar diagram. 

The formula for Pie Chart and bar diagram

To execute our theoretical knowledge of pie charts and bar diagrams, we have to know about the formula for Pie Chart and bar diagrams, which is given below – 

Pie Chart Formula

We all know that the total worth of a pie is always 100%. A 360-degree angle is also said to be subtended by a circle. As a result, every angle of the data set is examined. Two basic formulas apply to pie charts:

  • The following formula is used to calculate the fraction of the data provided: 1000 (Frequency x Total Frequency)

  • We use the following formula to convert the data to degrees: a full circle (Given Data Total Value of Data)

Using the procedures outlined below, we can calculate the percentage for any pie chart.

  • Calculate the sum by categorizing the data you’ve been given

  • Make a distinction between the many types of classifications

  • Based on the data, calculate the percentages

  • Decide the degrees

The formula of Bar Graphs

  • Create an angle of O at the intersection of two parallel lines. Lines on the vertical axis are called the y-axis, while lines on the horizontal axis are called the x-axis

  • The length of each bar should be determined by a suitable scale

  • Follow the line horizontally, tracing the bars at the same height and distance

  • The bar’s space should be the same

How to create a Pie Chart and a bar diagram?

After a detailed discussion of their formulas and definition, we will now learn how to create a Pie Chart and a bar diagram in detail.

The steps needed to create pie charts with specific details are:

  • Find the center angle of every component using the formula on the previous page

  • Draw a circle with any radius

  • Draw a horizontal arc

  • Beginning with the horizontal radius, draw a circle that creates central angles that match the respective components

  • Repeat the process for all the components of the information provided

  • The radii divide the circle into various segments

  • Then, color the areas with different shades to show different parts

  • Then, we have the pie chart we need

  • Bar graphs represent the easiest method of presenting the information

  • It’s made of rectangular bars of equal length and width

  • The distance between these two bars following each other should be the same

  • Bars are labeled horizontally as well as vertically. However, the majority of us prefer vertical bars

  • The bar’s height is a sign of its frequency during the observation

Methods used in the making of graphs from bar or column graphs

  • On graphs, create two lines perpendicular and intersect at zero

  • The horizontal line signifies the x-axis. At the same time, the vertical line represents the y-axis

  • The horizontal line determines the same width between bars and the uniform gap between them. It also notes the names of items that need to be recorded

  • Choose a suitable scale to determine the bar’s height with the given values in the vertical direction. (Frequency is measured from the y-axis)

  • Calculate the bars’ heights using the scale you’ve selected and the drawbars

Conclusion

Pie charts are the most popular in presentations to business clients; bar charts are gaining more usage. There are benefits and drawbacks both. This article will discover more about these and consider alternative options.

Bar charts are generally more common than pie charts since they provide essential information. Additionally, they can handle lots of data simultaneously, making them more adaptable. Although both are used to demonstrate the statistical data, the way of demonstration differentiates them. So, in this article, we learn about the definition of Pie charts and bar diagrams. 

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What is the Definition of a Pie Chart and Bar Diagram?

Ans. The Bar graph (bar chart) is a graph that shows the categorical information using rectangular bars. Bar graphs ...Read full

What are the different kinds of graphs using bar graphs?

Ans. The various types of bar graphs include: ...Read full

When can a bar graph be employed?

Ans. Bar graphs are used to evaluate the performance of various types of groups in time. Bar graphs are utilized to ...Read full

How do you calculate the percentage of data included in this pie graph?

Ans. Method of calculating the percentage of data ...Read full

What is a pie chart?

Ans. Pie charts are graphs with circular shapes that show the percentages of an entire group or each quantity. In th...Read full