Ex 13.3, 2 - If median is 28.5, find values of x and y. - Ex 13.3 - Ex 13.3

part 2 - Ex 13.3, 2 - Ex 13.3 - Serial order wise - Chapter 13 Class 10 Statistics
part 3 - Ex 13.3, 2 - Ex 13.3 - Serial order wise - Chapter 13 Class 10 Statistics part 4 - Ex 13.3, 2 - Ex 13.3 - Serial order wise - Chapter 13 Class 10 Statistics

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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 + (š‘µ/šŸ āˆ’š’„š’‡)/š’‡ Ɨ h Since Median = 28.5 20 – 30 is Median Class Where N = āˆ‘ā–’š‘“š‘– l = h = cf = f = Putting values in formula Median = l + (š‘›/2 āˆ’š‘š‘“)/š‘“ Ɨ h 28.5 = 20 + (30 āˆ’ (5+ š‘„))/20 Ɨ 10 28.5 = 20 + (25 āˆ’ š‘„)/2 28.5 – 20 = (25 āˆ’ š‘„)/2 8.5 = (25 āˆ’š‘„)/2 8.5 Ɨ 2 = 25 – x 17 = 25 – x x = 25 – 17 x = 8 Also, āˆ‘ā–’š’‡š’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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