CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard

Class 10
Solutions of Sample Papers for Class 10 Boards

## The mode of the following data is 67. Find the missing frequency x.

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Question 33 The mode of the following data is 67. Find the missing frequency x.Given Mode = 67 β΄ Modal class is 60 β 70 Mode = l + (ππ βππ)/(πππ β ππ β ππ) Γ h 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 Now, Mode = l + (ππ βππ)/(πππ β ππ β ππ) Γ h 67 = 60 + (15 β π₯)/(2(15) β π₯ β 12) Γ 10 67 β 60 = (15 β π₯)/(30 β π₯ β 12) Γ 10 7 = (15 β π₯)/(18 β π₯) Γ 10 7(18 β x) = (15 β x) Γ 10 126 β 7x = 150 β 10x 10x β 7x = 150 β 126 3x = 24 x = ππ/π = 8