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

  1. Class 10
  2. Important Questions for Exam - Class 10

Transcript

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 โ€“ 600 is Median Class Now, Median = l + (๐‘/2 โˆ’๐‘๐‘“)/๐‘“ ร— h Where N = โˆ‘โ–’๐‘“๐‘– l = h = cf = f = Putting values in formula Median = l + (๐‘/2 โˆ’๐‘๐‘“)/๐‘“ ร— h 525 = 500 + (๐Ÿ๐ŸŽ๐ŸŽ/๐Ÿ โˆ’(๐Ÿ‘๐Ÿ” + ๐’™))/๐Ÿ๐ŸŽ ร— 100 525 = 500 + (50 โ€“ (36 + x)) ร— 5 525 โ€“ 500 = (50 โ€“ 36 โ€“ x) ร— 5 25 = (14 โ€“ x) ร— 5 25 = 14(5) โ€“ 5x 25 = 70 โ€“ 5x 5x = 70 โ€“ 25 5x = 45 x = 45/5 x = 9 Also, โˆ‘โ–’๐‘“๐‘– = 76 + x + y 100 = 76 + x + y 100 โ€“ 76 = 9 + y 24 = 9 + y y = 24 โ€“ 9 y = 15

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.