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Ex 14.2, 2 - Information on the observed lifetimes (in hours)

Ex 14.2, 2 - Chapter 14 Class 10 Statistics - Part 2
Ex 14.2, 2 - Chapter 14 Class 10 Statistics - Part 3

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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 + (𝑓1 βˆ’π‘“0)/(2𝑓1 βˆ’π‘“0 βˆ’π‘“2) Γ— h Modal class = Interval with highest frequency = 60 – 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 βˆ’52)/(2(61)βˆ’52 βˆ’38) Γ— 20 = 60 + 9/(122 βˆ’90) 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

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