SubjectBusiness Mathematics TopicSub Divided Bar DiagramsDuo Directional Bar DiagramsSliding Bar Diagrams and Pie charts Prepared By MsBhanu Sachdeva Assistant Professor ID: 1024616
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1. Class – B.Com-II semesterSubject-Business MathematicsTopic-Sub Divided Bar Diagrams,Duo Directional Bar Diagrams,Sliding Bar Diagrams and Pie chartsPrepared By—Ms.Bhanu Sachdeva (Assistant Professor) Department- Commerce and managementCollege-I.B(PG) college Panipat,Affiliated to Kurukshetra University,Kurukshetra
2. Definition:In drawing such diagrams, First bars are drawn for total sum of values of different variables and then these bars are divided to show various components of variables.Different parts of bars must be distinguished by different shades or colours Sub -Divided Bar Diagrams
3. YearsYear Production (million tonnes)Year Production (million tonnes)Year Production (million tonnes)Year Production (million tonnes)WheatCottonRiceTotal20172018101389452227Problem on Sub-Divided Bar DiagramsExample:Represent the following data by a sub-divided bar diagram
4. ProductionSolution:Sub-Divided Bar Diagram showing Production of Various commodities for different years is as given below We can take years along X axis and production along y axis Scale:1cm=5million tonnes yearsyears
5. Duo-Directional Bar Diagrams :These diagrams are drawn to represent two different attributes. The bars can have both positive and negative values. Positive values are shown above and negative values are shown below the base line.Duo-Directional Bar Diagrams
6. Example:Represent the following data by a Duo-Directional Diagram.Problem on Duo-Directional Bar Diagrams Years20112012201320142015201620172018Variation70-35-452030-103555
7. VariationSolution:Duo-Directional Diagram Showing Variation in Different Years is as Given Below
8. Sliding-Bar Diagram:In these type of diagrams,the length of a bar is taken to be 100.on one side of base line the percentage of one part is shown and on other side of base line the percentage of other part is shown.Sliding-Bar Diagram
9. Example:Represent the following data by a sliding bar diagram.Problem on sliding bar diagram Years Pass % Fail % 2015 2016 2017 2018 70 85 90 65 30 15 10 35
10. Solution:Sliding Bar-Diagram Showing Pass and fail Percentage is as Given Below Scale:1cm=50%
11. Pie chart:In these the total quantity is distributed over one complete circle or 3600.This angle 3600 is divided into a number of small angles whose degrees will be proportional to the values of component. Pie Charts
12. Find fraction by dividing the value of each element by total (sum) of values of all elements Multiply this fraction by 3600 Draw a circle and then draw angles obtained in step 2 at centre of circle Different part of circle may be shaded differently or with different colour and highlights the different values.Method to Draw a Pie chart
13. Example:Represent the following data by Pie DiagramSolution:To draw the pie chart,we first calculate the angle at centre as shown in the following tableThe pie chart is obtained by marking the angles obtained in the above table at centre of the circleProblem on Pie ChartSubjectEngMathsPhysicsChemistryEconomicsCommerceNo.of students456020301015
14. SubjectNO.of studentsFraction of totalAngle at centreEnglishMathsPhysicsChemistryEconomicsCommerceTotal45602030101518045/18060/18020/18030/18010/18015/18045/180*3600=900 60/180*3600 =1200 20/180*3600 = 40030/180*3600 =60010/180*3600 =200 15/180*3600=300 TABLEThe pie chart is obtained by marking the angles obtained in the above table at centre of the circle
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