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By, Sana Rehman, Assistant Professor,
SCMS, Pune
 Data: data refers to the set of observations,
values, elements or objects under
consideration.
 Population: The complete set of all possible
elements or objects is called a population
Management No. Of schools
Governemnt 5
Private aided 4
Local body 7
Prvate unaided 6
Total 22
Enrollment No. of schools
Upto 50 6
51-100 5
101-200 12
201-300 5
Height No. of sudents
4’8-4’10 10
4’10-5’6 20
5’6-5’10 30
Enrollment No. of schools
Upto 50 6
51-100 5
101-200 12
201-300 5
 The data collected by or on behalf of the person or
people who are going to make use of the data refers to
primary data
 The data used by a person or people other than the
people by whom or for whom the data were collected
refers to secondary data. With following
Consuderations:
1. how the data have been collected and processed;
2. the accuracy of data
3. how far the data have been summarized;
4. how comparable the data are with other tabulations;
and
5. how to interpret the data, especially when figures
collected for one purpose are used for another purpose.
 Statistics can be described as the science of
classifying and organizing data in order to
draw inferences.
 Statistics refers to the methodology for the
collection, presentation and analyses of data
and for the uses of such data.
 Height in cms :
142,156,139,148,150,149,148,144,150,152,148,149,147,141
and 145. Little can be said about the height of the
children from these figures
 Height incms:
139,141,142,144,145,147,148,148,148,149,149,150,150,152
and 156. Even after a cursory look at the arranged data,
1. one can say that the height of the children varies from
139 cm to 156 cm:
2. there are 3 children having the same height of 148 cm
and
3. the number of children having height below 148 cm
and having height above 148 cm is the same.
 a test of 50 marks is administered on a class of 40
students and the marks obtained by these students
are as listed below
 35, 40, 50, 49, 52, 28, 78, 85, 39
 Such a table is known as frequency distribution
Marks No. of students
10-20 5
20-30 8
30-40 2
40-50 7
50-60 6
 The data which has been shown in the tabular
form, may be displayed in pictorial form by using
a graph. A well-constructed graphical presentation
is the easies
 Here only a few of the standard graphic forms of
representing the data are being discussed as listed
below
 a Histogram
 a Bar Diagram or Bar Graph
 a Frequency Polygon
 a Cumulative Frequency
 Built on a graph paper.
 X axis: Value of variables (class interval)
 Y Axis: Frequencies
• For the discrete Variable
• Unit of measure on horizontal axis is not
important.
 Horizontal Axis: Value of variables
 Vertical Axis: Frequencies
 Mark the mid point of Class interval
 mid points of the C.I. on horizontal axis
 vertical axis, cumulative frequency/cumulative
percentage
Graphical Representation of Data

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Graphical Representation of Data

  • 1. By, Sana Rehman, Assistant Professor, SCMS, Pune
  • 2.  Data: data refers to the set of observations, values, elements or objects under consideration.  Population: The complete set of all possible elements or objects is called a population
  • 3. Management No. Of schools Governemnt 5 Private aided 4 Local body 7 Prvate unaided 6 Total 22 Enrollment No. of schools Upto 50 6 51-100 5 101-200 12 201-300 5
  • 4. Height No. of sudents 4’8-4’10 10 4’10-5’6 20 5’6-5’10 30 Enrollment No. of schools Upto 50 6 51-100 5 101-200 12 201-300 5
  • 5.  The data collected by or on behalf of the person or people who are going to make use of the data refers to primary data  The data used by a person or people other than the people by whom or for whom the data were collected refers to secondary data. With following Consuderations: 1. how the data have been collected and processed; 2. the accuracy of data 3. how far the data have been summarized; 4. how comparable the data are with other tabulations; and 5. how to interpret the data, especially when figures collected for one purpose are used for another purpose.
  • 6.  Statistics can be described as the science of classifying and organizing data in order to draw inferences.  Statistics refers to the methodology for the collection, presentation and analyses of data and for the uses of such data.
  • 7.
  • 8.  Height in cms : 142,156,139,148,150,149,148,144,150,152,148,149,147,141 and 145. Little can be said about the height of the children from these figures  Height incms: 139,141,142,144,145,147,148,148,148,149,149,150,150,152 and 156. Even after a cursory look at the arranged data, 1. one can say that the height of the children varies from 139 cm to 156 cm: 2. there are 3 children having the same height of 148 cm and 3. the number of children having height below 148 cm and having height above 148 cm is the same.
  • 9.  a test of 50 marks is administered on a class of 40 students and the marks obtained by these students are as listed below  35, 40, 50, 49, 52, 28, 78, 85, 39  Such a table is known as frequency distribution Marks No. of students 10-20 5 20-30 8 30-40 2 40-50 7 50-60 6
  • 10.
  • 11.  The data which has been shown in the tabular form, may be displayed in pictorial form by using a graph. A well-constructed graphical presentation is the easies  Here only a few of the standard graphic forms of representing the data are being discussed as listed below  a Histogram  a Bar Diagram or Bar Graph  a Frequency Polygon  a Cumulative Frequency
  • 12.  Built on a graph paper.  X axis: Value of variables (class interval)  Y Axis: Frequencies
  • 13. • For the discrete Variable • Unit of measure on horizontal axis is not important.
  • 14.  Horizontal Axis: Value of variables  Vertical Axis: Frequencies  Mark the mid point of Class interval
  • 15.  mid points of the C.I. on horizontal axis  vertical axis, cumulative frequency/cumulative percentage