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🞂 One – Dimensional
🞂 Two – Dimensional
🞂 Three –
Dimensional
🞂 Pictogram
🞂 Cartogram
🞂 Line and Bar
🞂 Rectangle, Square,
Pie
🞂 Cube, Sphere, etc.
🞂 The length of the lines or bars is considered
🞂 The width is not considered.
🞂 Distance between line or bar is kept uniform.
🞂 Bar – Thick Width Line
87
24
11 13
25 20
100
80
60
40
20
0
Expenditur
e
🞂 It is a one –dimensional diagram
🞂 Easy to understand and common in business.
Year Profits
2012 15000
2013 18000
2014 20000
2015 16000
2016 13000
2017 17000
2018 25000
🞂 Denote more than one variable
🞂 Bars are drawn side by side
🞂 Comparison is easy
Profits
Year A B
2016 10000 15000
2017 15000 17500
2018 21000 19500
25000
20000
15000
10000
5000
0
2016 2018
Profit
s
2017
year
Comparative Profit of A & B
A
B
🞂 Bar is Subdivided into components.
🞂 Each Component occupies a part in the bar
proportional to its share in the total.
🞂 To distinguish each component – different colours
Districts
Population A B C
Male 1000 1200 1300
Female 500 800 900
Total 1500 2000 2200
900
800
500
1300
1200
1000
500
0
1000
2500
2000
1500
A B
Districts
C
Populatio
n
Population
Female
Male
🞂 Bars are all of equal height
🞂 Each segment (component) shows percentage
to the total.
Districts
Population A B C
Male 1000 1200 1300
Female 500 800 900
Total 1500 2000 2200
Percentage of
Male
1000/1500
*100 = 66.67% 60
59.0
9
Percentage of
Female
500/1500
*100=33.33% 40
40.9
1
1000
1200 1300
500
800 900
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
A B C
Female
Male
🞂 Deviation Bars:
 depicts the net deviations
 values both positive and negative
 Positive values above the base line and negative
values below
🞂 Broken Bars:
 data contain wide variations( very small or very
large) – reasonable shape – larger bars are broken
at top
Value of each bar written at top.
🞂 Also called AREA diagram or SURFACE
diagram
🞂 Both length and width is considered
🞂 Types : Rectangles, Squares, Circles, Pie
Diagram.
🞂 Highly Understandable
🞂 Proportionate sectors are divided in a circle
by taking whole data equal to 360 degrees.
Items Expenditure
Angle of the
circle
Food 87
(87/180)*360 =
174
Clothing 24 48
Entertainment 11 22
Education 13 26
Rent 25 50
Miscellaneous 20 40
Total 180 360
87, 49%
24, 13%
11, 6%
25, 14%
13, 7%
20,
11%
Expenditure
Food
Clothing
Entertainment
Education
Rent
Miscellaneous
🞂 Length, Height, Width..
🞂 Cubes, Cylinders, Prisms, Spheres…
🞂 Use of Pictures
🞂 Use of Maps
🞂 1. They are attractive and impressive.
🞂 2. They make data simple and intelligible.
🞂 3. They make comparison possible
🞂 4. They save time and labour.
🞂 5. They have universal utility.
🞂 6. They give more information.
🞂 7. They have a great memorizing effect.
DIAGRAMS GRAPHS
🞂 Ordinary paper can be used
🞂 It is attractive and is easily
understandable.
🞂 It is appropriate and effective to represent
one or more variables
🞂 It cannot be used for interpolation and
extrapolation technique
🞂 Median and mode cannot be estimated
🞂 It is used for comparison only
🞂 Data are presented by bars, rectangles
🞂 Diagrams are used for publicity as they
are attractive. They give only
approximate information.
🞂 To a statistician or a researcher, diagrams
are not helpful in analysis
🞂 Graph paper is needed
🞂 It needs some effort to understand
🞂 It creates problem
🞂 It is helpful in intrapolation and
extrapolation techniques.
🞂 The value of median and mode can be
estimated
🞂 It represents a mathematical relationship
between the two variables.
🞂 Data are presented by points or lines of
different kinds – dots, dashes, etc.
🞂 Graphs are very much useful to
statistician or researchers in analysis.
🞂 A diagram should be neatly drawn and attractive.
🞂 The measurements of geometrical figures used in diagram
should be accurate and proportional.
🞂 The size of the diagrams should match the size of the paper.
🞂 Every diagram must have a suitable but short heading.
🞂 The scale should be mentioned in the diagram.
🞂 Diagrams should be neatly as well as accurately drawn with
the help of drawing instruments.
🞂 Index must be given for identification so that the reader can
easily make out the meaning of the diagram.
🞂 Footnote must be given at the bottom of the diagram.
🞂 Economy in cost and energy should be exercised in drawing
diagram
GRAPHICAL
REPRESENTATION
FREQUENCY DISTRIBUTION
TYPES
• HISTOGRAM
• FREQUENCY POLYGON
• FREQUENCY CURVE
• OGIVES
HISTOGRAM
FREQUENCYPOLYGON& CURVE
diagrams-191020083131.pptx
diagrams-191020083131.pptx
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diagrams-191020083131.pptx

  • 1.
  • 2. 🞂 One – Dimensional 🞂 Two – Dimensional 🞂 Three – Dimensional 🞂 Pictogram 🞂 Cartogram 🞂 Line and Bar 🞂 Rectangle, Square, Pie 🞂 Cube, Sphere, etc.
  • 3. 🞂 The length of the lines or bars is considered 🞂 The width is not considered. 🞂 Distance between line or bar is kept uniform. 🞂 Bar – Thick Width Line
  • 5. 🞂 It is a one –dimensional diagram 🞂 Easy to understand and common in business. Year Profits 2012 15000 2013 18000 2014 20000 2015 16000 2016 13000 2017 17000 2018 25000
  • 6.
  • 7.
  • 8. 🞂 Denote more than one variable 🞂 Bars are drawn side by side 🞂 Comparison is easy Profits Year A B 2016 10000 15000 2017 15000 17500 2018 21000 19500
  • 10. 🞂 Bar is Subdivided into components. 🞂 Each Component occupies a part in the bar proportional to its share in the total. 🞂 To distinguish each component – different colours Districts Population A B C Male 1000 1200 1300 Female 500 800 900 Total 1500 2000 2200
  • 12. 🞂 Bars are all of equal height 🞂 Each segment (component) shows percentage to the total. Districts Population A B C Male 1000 1200 1300 Female 500 800 900 Total 1500 2000 2200 Percentage of Male 1000/1500 *100 = 66.67% 60 59.0 9 Percentage of Female 500/1500 *100=33.33% 40 40.9 1
  • 14. 🞂 Deviation Bars:  depicts the net deviations  values both positive and negative  Positive values above the base line and negative values below 🞂 Broken Bars:  data contain wide variations( very small or very large) – reasonable shape – larger bars are broken at top Value of each bar written at top.
  • 15.
  • 16.
  • 17. 🞂 Also called AREA diagram or SURFACE diagram 🞂 Both length and width is considered 🞂 Types : Rectangles, Squares, Circles, Pie Diagram.
  • 18.
  • 19. 🞂 Highly Understandable 🞂 Proportionate sectors are divided in a circle by taking whole data equal to 360 degrees.
  • 20. Items Expenditure Angle of the circle Food 87 (87/180)*360 = 174 Clothing 24 48 Entertainment 11 22 Education 13 26 Rent 25 50 Miscellaneous 20 40 Total 180 360
  • 21. 87, 49% 24, 13% 11, 6% 25, 14% 13, 7% 20, 11% Expenditure Food Clothing Entertainment Education Rent Miscellaneous
  • 22. 🞂 Length, Height, Width.. 🞂 Cubes, Cylinders, Prisms, Spheres…
  • 23. 🞂 Use of Pictures 🞂 Use of Maps
  • 24. 🞂 1. They are attractive and impressive. 🞂 2. They make data simple and intelligible. 🞂 3. They make comparison possible 🞂 4. They save time and labour. 🞂 5. They have universal utility. 🞂 6. They give more information. 🞂 7. They have a great memorizing effect.
  • 25. DIAGRAMS GRAPHS 🞂 Ordinary paper can be used 🞂 It is attractive and is easily understandable. 🞂 It is appropriate and effective to represent one or more variables 🞂 It cannot be used for interpolation and extrapolation technique 🞂 Median and mode cannot be estimated 🞂 It is used for comparison only 🞂 Data are presented by bars, rectangles 🞂 Diagrams are used for publicity as they are attractive. They give only approximate information. 🞂 To a statistician or a researcher, diagrams are not helpful in analysis 🞂 Graph paper is needed 🞂 It needs some effort to understand 🞂 It creates problem 🞂 It is helpful in intrapolation and extrapolation techniques. 🞂 The value of median and mode can be estimated 🞂 It represents a mathematical relationship between the two variables. 🞂 Data are presented by points or lines of different kinds – dots, dashes, etc. 🞂 Graphs are very much useful to statistician or researchers in analysis.
  • 26. 🞂 A diagram should be neatly drawn and attractive. 🞂 The measurements of geometrical figures used in diagram should be accurate and proportional. 🞂 The size of the diagrams should match the size of the paper. 🞂 Every diagram must have a suitable but short heading. 🞂 The scale should be mentioned in the diagram. 🞂 Diagrams should be neatly as well as accurately drawn with the help of drawing instruments. 🞂 Index must be given for identification so that the reader can easily make out the meaning of the diagram. 🞂 Footnote must be given at the bottom of the diagram. 🞂 Economy in cost and energy should be exercised in drawing diagram
  • 28.
  • 29. TYPES • HISTOGRAM • FREQUENCY POLYGON • FREQUENCY CURVE • OGIVES