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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
 Q 1: The maximum frequency corresponds to which class mark?165140155145 Q 2: Write down the corresponding class interval for the class mark 145.140 - 150160 - 170150 - 160170 - 180 Q 3: Which class interval has the lowest frequency?180 - 190140 - 150190 - 200170 - 180 Q 4: The upper limit for the lowest class interval is170140160150 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!