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Date:___________________

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Middle/High School Algebra, Geometry, and Statistics (AGS)
9.18 Frequency Polygon without Histograms

Frequency Polygons can be drawn independently without drawing the histograms.
In drawing a histogram of a given frequency distribution, we take the following steps:

Step 1. : If the frequency table is in the inclusive form, we first convert it into an exclusive form and make it a continuous interval.
Step 2. :To complete the polygon we assume a class interval with zero frequency preceding the first class interval and a class interval with zero frequency succeeding the last class interval.
Step 3. : Taking a suitable scale, we represent class marks along x axis.
Step 4. : Taking a suitable scale, we represent frequency along y axis.
Step 5. : We plot the corresponding points and join it with the help of line segment.
Consider the following example.
In a city, the following weekly observations were made in a study on cost of living index :




Following is the frequency polygon for the above data



Directions: On the basis of the given information answer the following questions


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Date:___________________

Middle/High School Algebra, Geometry, and Statistics (AGS)
9.18 Frequency Polygon without Histograms

Q 1: Write down the corresponding class interval for the class mark 145.
170 - 180
150 - 160
140 - 150
160 - 170

Q 2: The maximum frequency corresponds to which class mark?
145
165
140
155

Q 3: Which class interval has the lowest frequency?
190 - 200
140 - 150
180 - 190
170 - 180

Q 4: Frequency Polygons without histograms are drawn with the help of class marks.
True
fase

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Question 6: This question is available to subscribers only!


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