Detailed explanation about line graphs and frequency polygons with examples..
Frequency polygons in discrete series and in continuous series is also explained..
This ppt explains about " How to draw Frequency polygons with the help of histograms as well as " How to draw Frequency polygons without the help of histograms step by step
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Detailed explanation about line graphs and frequency polygons with examples..
Frequency polygons in discrete series and in continuous series is also explained..
This ppt explains about " How to draw Frequency polygons with the help of histograms as well as " How to draw Frequency polygons without the help of histograms step by step
Level : 11
Bibiliography: Statistics for economics class 11 textbook by Sandeep Garg
A presentation by Amrutha Varshini
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2. WHAT IS POLYGON;
A frequency polygon is a graphical form of
representation of data.
Frequency polygons are a graphical device for
understanding the shapes of distributions.
They serve the same purpose as histograms, but are
especially helpful for comparing sets of data.
3. CHARACTERISTICS:
• It uses a line graph to represent
quantitative data.
• Frequency polygons are a visually
substantial method of representing
quantitative data and its
frequencies.
• It is usually drawn with the help of
a histogram but can be drawn
without it as well
5. CONSTRUCT WITH THE HELP OF
HISTOGRAM:
Class
boundaries
140 − 150 150 − 160 160 − 170 170 − 180
frequency 74 163 135 28
In order to create a frequency polygon, one must follow
these steps:
1) Creation of a histogram.
2) Finding the midpoints for each bar that exists on the
histogram.
3) Placing a point on the origin of the histogram and its
end.
6. CONSTRUCT WITH
THE HELP OF
HISTOGRAM:
• The heights are
represented on the
horizontal axes.
• The number of
students is
represented on the
vertical axes
• This is frequency
polygon.
7. WITHOUT HISTOGRAM:
CLASS
LIMIT
0 − 9 10 − 19 20 − 29 30 − 39 40 − 49 50 − 59
FREQUENC
Y
0 10 5 9 6 7
To construct without histogram:
1) Find the class boundaries.
2) Find the mid point of the class boundaries.
3) Plot a polygon such that the frequency is on y-axes.
10. RELATED EXAMPLES:
Construct a polygon with the help of following table:
Class
boundari
es
0.5-5.5 5.5-10.5 10.5-
15.5
15.5-
20.5
20.5-
25.5
25.5-
30.5
Frequenc
y
1 3 2 4 5 3
To construct polygon:
1) Construct a table:
2) Find the mid point of the class boundaries.
3) Plot a polygon such that the frequency is on y-axes
12. POLYGON CAN BE USED FOR:
A polygon can be used for:
1: for simple presentation of
the data.
2 : for comparison of
something.
13. FOR COMPARISON :
Compare the marks of students in English and Math in a class:
Marks
0
0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79
Englis
h
0 2 4 8 14 15 4 2
Math 0 3 5 7 8 9 7 5
To construct without histogram:
1) Find the class boundaries.
2) Find the mid point of the class boundaries.
3) Plot a polygon such that both frequencies is on y-