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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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo