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Example 8 - Median is 525. Find value of x and y if total frequency is

Example 8 - Chapter 14 Class 10 Statistics - Part 2
Example 8 - Chapter 14 Class 10 Statistics - Part 3
Example 8 - Chapter 14 Class 10 Statistics - Part 4

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Example 8 The median of the following data is 525. Find the values of x and y, if the total frequency is 100. Since Median = 525 500 – 600 is Median Class Now, Median = l + (𝑁/2 −𝑐𝑓)/𝑓 × h Where N = ∑▒𝑓𝑖 l = h = cf = f = Putting values in formula Median = l + (𝑁/2 −𝑐𝑓)/𝑓 × h 525 = 500 + (𝟏𝟎𝟎/𝟐 −(𝟑𝟔 + 𝒙))/𝟐𝟎 × 100 525 = 500 + (50 – (36 + x)) × 5 525 – 500 = (50 – 36 – x) × 5 25 = (14 – x) × 5 25 = 14(5) – 5x 25 = 70 – 5x 5x = 70 – 25 5x = 45 x = 45/5 x = 9 Also, ∑▒𝑓𝑖 = 76 + x + y 100 = 76 + x + y 100 – 76 = 9 + y 24 = 9 + y y = 24 – 9 y = 15

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.