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Understanding Pie Chart Questions and Concepts for CAT Preparation

This article is strictly concentrated on one specific form of data representation format that have been asked in exams known as Pie Charts.

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Understanding Pie Chart Questions and Concepts for CAT Preparation

Saturday, May 16th, 2020

Data Interpretation holds an inevitable place in today’s world. Everything revolves around the data. It’s being continuously collected, structured and then meaningful conclusions are drawn from it after careful research and analysis. Thus, data is important but it’s useless without its accurate interpretation and that’s why Data interpretation is included as a section in various competitive exams especially MBA entrance exams such as CAT, XAT, IIFT, SNAP etc. In these exams, data will be represented in various formats such as graphs, charts, tables etc. along with 3-4 questions that will be based on the structured data. To excel in this section, you not only need knowledge of various forms of data representation techniques and formats like graphs and charts but also basic arithmetic formulas and concepts of percentages, ratios etc. This article is strictly concentrated on one specific form of data representation format that have been asked in exams known as Pie Charts.

Pie Charts are the circular way of data representation. In these graphs, a circle is divided into various segments and each single segment denote a category from the given data. In a pie chart, the arc length of each slice (and consequently its central angle and area), is proportional to the quantity it represents. Pie graphs use percentage or angles to show relative sizes of various categories. Pie charts can be used in following ways.

They are a visual way of displaying data that might otherwise be given in a small table.

Pie charts are useful for displaying data that are classified into nominal or ordinal categories. Nominal data are categorized according to descriptive or qualitative information such as county of birth or type of pet owned. Ordinal data are similar but the different categories can also be ranked, for example in a survey people may be asked to say whether they classed something as very poor, poor, fair, good, very good.

They are generally used to show percentage or proportional data and usually the percentage represented by each category is provided next to the corresponding slice of pie.

They are good for displaying data for around 6 categories or fewer. When there are more categories it is difficult for the eye to distinguish between the relative sizes of the different sectors and so the chart becomes difficult to interpret.

There are various kinds of pie graphs namely, 3D pie chart, doughnut chart, exploded pie chart, ring chart etc. But in the exam, we will usually be given the basic pie chart which is given below.

Let’s now solve a couple of questions to understand how to use data given in form of pie graphs. First understand one more point before solving questions.

A circle is of 360o and this 360o represent the total value of the data that chart represents. So, if let’s assume the total sale is of 10,000 then 3600 represent 10000. And each segment in the pie chart either given in form of an angle or percentage represent a portion of total value. So, to quickly solve the questions you need to know a few things i.e. the value of each segment in actual form and the total sum of all the values. Also, you need to know the conversion between degrees and percentages. I will let you know the formula later when required in any question though it’s easy and you can do it yourself as well.

Example 1: The following pie chart shows the amount of subscription generated for Indian Bonds from different categories of Investors.

Question 1: If the investment by NRI’s are INR 4,000 crore, then investment by both corporate houses and FII’s together is:

a.) 24000 crores b.) 24363 crores c.) 25423.4 crores d.) 25643.3 crores

Question 2: What percentage of total investment is coming from either FII’s or NRI’s?

a.) 33% b.) 44% c.) 11% d.) 22%

Question 3: If the total investment other than by FII and corporate houses is INR 335,000 crore, then the investment by NRI’s and offshore funds will be (approximately):

a.) 274,100 b.) 285,600 c.) 293,000

d.) Cannot be determined

Question 4: What is approximate ratio of investment flows into India Bonds from NRI’s to corporate houses?

a.) 1:4 b.) 1:3 c.) 3:1

d.) Cannot be determined

Question 5: In corporate sector, approximately how many degrees should be there in the central angle?

a.) 120 b.) 121 c.) 122 d.) 123

Question 6: If the total investment flows from FII were to be doubled in the next year and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment flows into Indian Bonds in the next year (approximately)?

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Pie Charts Pie Chart 11

Data Interpretation questions and answers section on "Pie Charts Pie Chart 11" for placement interviews and competitive exams: Fully solved Data Interpretation problems with detailed answer descriptions and explanations are given for the "Pie Charts Pie Chart 11" section.

Data Interpretation :: Pie Charts

Exercise : Pie Charts - Pie Chart 11

Pie Charts - Pie Chart 1

Pie Charts - Pie Chart 2

Pie Charts - Pie Chart 3

Pie Charts - Pie Chart 4

Pie Charts - Pie Chart 5

Pie Charts - Pie Chart 6

Pie Charts - Pie Chart 7

Pie Charts - Pie Chart 8

Pie Charts - Pie Chart 9

Pie Charts - Pie Chart 10

Pie Charts - Pie Chart 11

Pie Charts - Pie Chart 12

Directions to Solve

Study the following pie-diagrams carefully and answer the questions given below it: