Ex 14.4

Chapter 14 Class 10 Statistics
Serial order wise

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Ex 14.4, 2 During the medical check-up of 35 students of a class, their weights were recorded as follows: Draw a less than type ogive for the given data. Hence obtain the median weight from the graph verify the result by using the formula. Finding Median Since ββππ = 35 So, N = 35 β΄ π/2 = 35/2 = 17.5 We draw a line parallel to x-axis where Number of students = 17.5 Where the line intersects are equation, it is the median β΄ Median = 46.5 To find Median by Formula, We convert Less than table to Normal forFinding Median Median = l + (π΅/π βππ)/π Γ h Here, π΅/π β΄ 46 β 48 is median class And, l = h = cf = f = Putting values in formula Median = l + (π/2 βππ)/π Γ h = 46 + (17.5 β14)/14 Γ 2 = 46 + 3.5/14 Γ 7 = 46 + 0.5 = 46.5 Thus, Median from the formula matches Median from the graph