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Transcript

Ex 13.2, 10 The diameters of circles (in mm) drawn in a design are given below: h = class size = 36.5 βˆ’ 32.5 = 4 Mean(π‘₯ Μ…) = A + (βˆ‘β–’π‘“π‘–π‘¦π‘–)/(βˆ‘β–’π‘“π‘–) Γ—β„Ž = 42.5 + 25/100 Γ—4 = 42.5 + 1/4 Γ—4 = 43.5 Variance (𝜎)2 = β„Ž2/N2 [π‘βˆ‘β–’π‘“π‘–π‘¦π‘–2 βˆ’ (βˆ‘β–’π‘“π‘–π‘¦π‘–)^2 ] = 42/1002 [100 Γ— (199) – (25)2] = 16/10000 [19900 βˆ’625] = 16/10000 Γ— 19275 = 30.84 ∴ Standard deviation (𝜎) = √Variance 𝜎 = √30.84 = 5.55

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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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.