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Methods Of Data Representation

Top management, customers, stakeholders and other concerned top level authority members rarely have enough time to go through whole reports. Hence requires presenting the data in such a manner that enable reader to interpret the important data with minimum efforts and time. Thus, CAT checks how well an aspirant understands these methods.

Data presentation can be broadly classified in two ways:

Non-Graphical MethodsGraphical Methods
Tabular FormPie charts
Case FormBar Charts
 Line Graphs
 Geometrical Diagrams


Non Graphical Methods



TABULAR FORM

Tabular data presentation method or better call it ‘numerical data tables’ is the most commonly used method of data presentation. It correlates or measures two things/variables at a time.

One variable get represented in columns and other in rows and particular intersection by row and column is known as a cell

Following Example will lead to a better understanding of method.

EXAMPLE: PRODUCTION OF TWO-WHEELERS IN INDIA


YearScootersMotor-CyclesMopedsTotal
1995-966420833025204496881394291
1996-977257354290374456941600466
1997-987666204303664060811603067
1998-998338024619554603981756155
1999-0012258958090876210352656017


There are numerous questions that can be formed from the given data. Some of them are as follows:


  • CONTRIBUTION OF ANY TYPE OF TWO WHEELER IN TOTAL PRODUCTION IN ANY PARTICULAR YEAR?
  • This is a simple question of percentage of certain object out of mass at a given time.

    EX: You may be asked to calculate contribution of Scooters in terms of total production in the year 1998-99. That will be

    =
    \frac{Production of scooters}{Total production of two wheelers} * 100


  • RATE OF CHANGE OF A PARTICULAR TYPE OF TWO WHEELER’S PRODUCTION?

    This is a question of percentage change of certain object over certain time.

    EX: Say, Growth of Scooters from 95-96 to 99-2000 will be

    =
    \frac{Production of Scooters in 99 to 00 - production of scooters in 98 to 99}{production of scooters in the year 98 to 99} * 100


  • Growth rate of some particular type of two wheeler over other?


Note: The questions could be based upon any kind of correlation between the two variables that a table represents.


CASE FORM

This is paragraphed form of representing data and rather than using scientific system and following a rigid protocol to examine limited number of variables, this method involve an in-depth, longitudinal examination of a single instance or event.

As far as Test’s point of view is concerned, generally,this form is not asked directly. Reading comprehension is the area where this method’s replica could be seen.

This method generates the following type of questions:

  • The best strategy in the present condition?

  • What should be the strategy?

  • Strategy evaluation of a particular condition?


Graphical Methods



PIE CHART

In this method the data is presented in circle ie. Using 360 degrees to represent 100.%

The only drawback with this particular method is only one co-ordinate can be plotted, hence usage is restricted. This method generally used to show a part of data along with other methods.

This method is one of most important read for CAT’s perspective.

Following Example will help to understand method better.


EXAMPLE:Revenue Distribution Of An Industry


Market SegmentRevenue
Corporate4945
Small Business2516
Consumer6091
Total13552

This data can be plotted only on a pie chart only after knowing the individual segment’s proportion to the total i.e. after knowing the percentage or degree proportion of the segment.

Simple percentage formulae will give the following additional data.


Market SegmentRevenue%ProportionCentral Angle or degree
Corporate494536129.6
Small Business25161968.4
Consumer609145160
Total13552100360

Note: This picture is only to support understanding and doesn’t reflect actual dimensions.


For quantitative usage:
  • 1 Degree = .2777 Percent

  • 1 Percent = 3.6 Degree

Some common questions that are formed from this method are:

  • Change is central angle for a percentage change?

  • Percentage change for central angle change?

Bar Charts

This method plots the data with the help of bars. This commonly used method is considered the most accurate as it doesn’t involve interpolation or extrapolation at any point while measuring the data.

This way the data can be presented to make comparative evaluation of parameters very easy.

There are three type of bar charts which we will study with the help of an example.


EXAMPLE: Investment Division


YearIndirect InvestmentDirect Investment
1996-9780150
1997-9892341
1998-993649586
1999-0035811314
2000-0122142133
2001-0227752609


CLUSTERED BAR CHART will present the data as:






STACKED BAR CHART will present the data as:



100 percentage STACKED BAR CHART will present the data as:





Note: Difference is mainly in the bar style.


Following are the type of questions that are generally formed from this method type:


  • Values of any particular object?

  • Ex: What is the highest or the lowest values of the foreign investment / direct investment?

  • General directional based questions?

  • Ex: What’s the market trend?

  • Ratio between different objects?

  • Ex: What’s the ratio of II to DI in a particular year?

  • Contribution/margins of a particular variable?

  • Ex: Contribution of DI in the total inflow in a particular year or as a whole?

  • Period for a particular variable change?

  • Ex: What’s the period when II/DI records the highest growth or decline?

  • Proportions are generally measured.


TABULAR FORM

This method shows the variation of a parameter with respect to another and is calibrated on x and y axis where y axis is the vertical side and x axis is the horizontal side of the graph.

This method is mainly used to present the data that determines the trend or rate of change. The slope of line generally shows the magnitude of change, also known as elasticity.

This method is generally used to show:

  • Cost curves

  • Inflow and outflow statements

  • Production patterns

  • Sales graphs etc

NOTE:

  • THE SLOPE OF THE GRAPH INDICATES THE ABSOLUTE CHANGE AND NOT THE CHANGE.

  • THE SIMPLE AND CUMULATIVE AVERAGE GROWTH ARE THE TWO CONCEPTS THAT MUST BE KEPT IN MIND WHILE SOLVING THE PROBLEMS BASED ON THIS PARTICULAR METHOD.

Let’s get ourselves in a little detail with this example:


EXAMPLE: Investment Division



YearIndirect InvestmentDirect Investment
1996-9780150
1997-9892341
1998-993649586
1999-0035811314
2000-0122142133
2001-0227752609



This data will be shown via Graphical method as follow:




GEOMETRICAL DIAGRAMS

This is the most complicated form of data presentation and very often can be seen in the TEST. For the interpretation of these diagrams you got to have proper knowledge about the properties of that particular figure. This figure could be any sort of geometric figure. A Square Or cube Or a circle etc.

EXAMPLE: CITY MAP




Some areas in Delhi’s map.

  • OA = 5 KM
  • A= 2 KM
  • O = CENTER FOR BOTH THE CIRCLES.

Other than the normal question from section, this method generates the following type of questions:

  • DISTANCE BETWEEN OC?
  • DISTANCE BETWEEN ED?

Hope you guys will find the info useful. For more reading material you can JOIN CAT Community.

nishithv1965
  • Authority 37
Post Body
nishithv1965 said:

an eye opener for the beginners.thankyou.

  • Quote
  • Posted about 1 month ago.
basha1214
  • Authority 8
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basha1214 said:

its very good.thanqe for providing infor about cat

  • Quote
  • Posted about 1 month ago.
nishu setia
  • Authority 24
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nishu setia said:

a gud way 2 guide

  • Quote
  • Posted about 1 month ago.
nishu setia
  • Authority 24
Post Body
nishu setia said:

a gud way 2 guide

  • Quote
  • Posted about 1 month ago.
nishu setia
  • Authority 24
Post Body
nishu setia said:

a gud way 2 guide

  • Quote
  • Posted about 1 month ago.
allua
  • Authority 0
Post Body
allua said:

GIVE SOME TIPS TO INTERPRET LIKE HOW TO FIND THE GRETER DIFF OF RESPECTIVE YEAR IN A LARGE TABLE.

  • Quote
  • Posted about 1 month ago.
shrey bhatnagar
  • Authority 0
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shrey bhatnagar said:

thank u bt will like to have much more Eg. with some solution also

  • Quote
  • Posted 29 days ago.
careeruday
  • Authority 5
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careeruday said:

It’s great and an eyeopener in a first go.

  • Quote
  • Posted 24 days ago.
yogeshsongire
  • Authority 4
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yogeshsongire said:

good basic study material.

  • Quote
  • Posted 21 days ago.
toughjamy
  • Authority 0
Post Body
toughjamy said:

good hai… alright!!! but friend we need more.

We have to become more randy towards the intricate problems.

We actually need to concentrate on percentage and ratio chapter to come out with flying colors.

That room, that day, that 2.5 hours…..They are going to mean a lot. And we all must have given final edge to our preparation ie. so called “finishing touch”

Guys and gals. I am also an aspirant this year . I wish you all score well. definitely I should top (cumon this is competition)

but have healthy spirits. We will surely tell CAT paper setters that they still need more time to set better paprer. I wish I complete 80% of paper correctly.

pray for me. I will pray for u all.

take care my sweetu competitors.

  • Quote
  • Posted 21 days ago.
toughjamy
  • Authority 0
Post Body
toughjamy said:

good hai… alright!!! but friend we need more.

We have to become more randy towards the intricate problems.

We actually need to concentrate on percentage and ratio chapter to come out with flying colors.

That room, that day, that 2.5 hours…..They are going to mean a lot. And we all must have given final edge to our preparation ie. so called “finishing touch”

Guys and gals. I am also an aspirant this year . I wish you all score well. definitely I should top (cumon this is competition)

but have healthy spirits. We will surely tell CAT paper setters that they still need more time to set better paprer. I wish I complete 80% of paper correctly.

pray for me. I will pray for u all.

take care my sweetu competitors.

  • Quote
  • Posted 21 days ago.
pri_mishra
  • Authority 8
Post Body
pri_mishra said:

good but i think we need to go to depth for CAT

  • Quote
  • Posted 16 days ago.
pri_mishra
  • Authority 8
Post Body
pri_mishra said:

good but i think we need to go to depth for CAT

  • Quote
  • Posted 16 days ago.
delhiite
  • Authority 53
Post Body
delhiite said:

A very useful paper.

The pie chart tips are great…

1 Degree = .2777 Percent

1 Percent = 3.6 Degree

However, please check why the images / graphs are not showing up on screen.

  • Quote
  • Posted 1 day ago.
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