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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

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Transcript

Ex 13.3, 2 If the median of the distribution given below is 28.5, find the values of x and y. Now, Median = l + (𝑡/𝟐 βˆ’π’„π’‡)/𝒇 Γ— h Since Median = 28.5 20 – 30 is Median Class Where N = βˆ‘β–’π‘“π‘– l = h = cf = f = Putting values in formula Median = l + (𝑛/2 βˆ’π‘π‘“)/𝑓 Γ— h 28.5 = 20 + (30 βˆ’ (5+ π‘₯))/20 Γ— 10 28.5 = 20 + (25 βˆ’ π‘₯)/2 28.5 – 20 = (25 βˆ’ π‘₯)/2 8.5 = (25 βˆ’π‘₯)/2 8.5 Γ— 2 = 25 – x 17 = 25 – x x = 25 – 17 x = 8 Also, βˆ‘β–’π’‡π’Š = 45 + x + y Putting values 60 = 45 + 8 + y 60 = 53 + y 60 – 53 = y 7 = y y = 7 Hence, x = 8, y = 7

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.