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Example 5 In a city, the weekly observations made in a study of cost of living index are given in the following table Draw a frequency polygon for the data above (without constructing a histogram). Class mark = (𝑢𝑝𝑝𝑒𝑟 𝑐𝑙𝑎𝑠𝑠 𝑙𝑖𝑚𝑖𝑡+𝑙𝑜𝑤𝑒𝑟 𝑐𝑙𝑎𝑠𝑠 𝑙𝑖𝑚𝑖𝑡)/2 Class mark for 140 – 150 interval = (150 + 140)/2 = 290/2 = 145 We plot class-marks on x axis and number of weeks on y axis Calculating points where frequency = 0 Difference = 155 – 145 = 10 First point = 145 – 10 = 135 Last point = 195 + 10 = 205 So, we plot points (135, 0) & (205, 0)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo