The frequency distribution table of agriculture holdings in a village - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic

part 2 - Question 27 (A) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10
part 3 - Question 27 (A) - CBSE Class 10 Sample Paper for 2026 Boards - Maths Basic - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 27 (A) The frequency distribution table of agriculture holdings in a village is given below: Find the modal agriculture holdings of the village.Let’s find Mode Finding Mode Mode = l + (π’‡πŸ βˆ’ π’‡πŸŽ)/(πŸπ’‡πŸ βˆ’ π’‡πŸŽ βˆ’ π’‡πŸ) Γ— h Modal class = Interval with highest frequency = 5 – 7 where l = lower limit of modal class h = class-interval f1 = frequency of the modal class f0 = frequency of class before modal class f2 = frequency of class after modal class Putting values in formula Mode = l + (𝑓1 βˆ’π‘“0)/(2𝑓1 βˆ’π‘“0 βˆ’π‘“2) Γ— h = 5 + (πŸ–πŸŽ βˆ’ πŸ’πŸ“)/(𝟐(πŸ–πŸŽ) βˆ’ πŸ’πŸ“ βˆ’ πŸ“πŸ“) Γ— 2 = 5 + 35/(160 βˆ’ 100) Γ— 2 = 5 + 35/60 Γ— 2 = 5 + 7/6 = 5 + 1.1666.. = 5.166.. Hence, modal agriculture holdings of village is 6.17 hectare (approx.)

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