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### High School Mathematics14.18 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 upper limit for the lowest class interval is170140160150 Q 2: Which class interval has the lowest frequency?170 - 180180 - 190140 - 150190 - 200 Q 3: The maximum frequency corresponds to which class mark?145140165155 Q 4: Frequency Polygons without histograms are drawn with the help of class marks.Truefase Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!