Ex 14.3, 2 - If median is 28.5, find values of x and y. - Ex 14.3

Ex 14.3, 2 - Chapter 14 Class 10 Statistics - Part 2
Ex 14.3, 2 - Chapter 14 Class 10 Statistics - Part 3 Ex 14.3, 2 - Chapter 14 Class 10 Statistics - Part 4

  1. Chapter 14 Class 10 Statistics (Term 2)
  2. Serial order wise

Transcript

Ex 14.3, 2 If the median of the distribution given below is 28.5, find the values of x and y. Now, Median = l + (๐‘ต/๐Ÿ โˆ’๐’„๐’‡)/๐’‡ ร— h Since Median = 28.5 20 โ€“ 30 is Median Class Where N = โˆ‘โ–’๐‘“๐‘– l = h = cf = f = Putting values in formula Median = l + (๐‘›/2 โˆ’๐‘๐‘“)/๐‘“ ร— h 28.5 = 20 + (30 โˆ’ (5+ ๐‘ฅ))/20 ร— 10 28.5 = 20 + (25 โˆ’ ๐‘ฅ)/2 28.5 โ€“ 20 = (25 โˆ’ ๐‘ฅ)/2 8.5 = (25 โˆ’๐‘ฅ)/2 8.5 ร— 2 = 25 โ€“ x 17 = 25 โ€“ x x = 25 โ€“ 17 x = 8 Also, โˆ‘โ–’๐’‡๐’Š = 45 + x + y Putting values 60 = 45 + 8 + y 60 = 53 + y 60 โ€“ 53 = y 7 = y y = 7 Hence, x = 8, y = 7

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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.