Chapter 14 Class 10 Statistics (Term 2)

Serial order wise

Last updated at May 12, 2021 by Teachoo

Ex 14.2, 2 The following data gives the information on the observed lifetimes (in hours) of 225 electrical components . Determine the modal lifetimes of the components. Mode = l + (π1 βπ0)/(2π1 βπ0 βπ2) Γ h Modal class = Interval with highest frequency = 60 β 80 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of the class before modal class f2 = frequency of the class after modal class Putting values in formula Mode = 60 + (61 β52)/(2(61)β52 β38) Γ 20 = 60 + 9/(122 β90) Γ 2 = 60 + 9/32 Γ 20 = 60 + 9/8 Γ 5 = 60 + 5.625 = 65.625 Thus, Modal lifetime of components isο»Ώ 65.625 hours