Ex 13.2, 10 - Diameter of circles (in mm) drawn in a design - Ex 13.2

part 2 - Ex 13.2,  10 - Ex 13.2 - Serial order wise - Chapter 13 Class 11 Statistics
part 3 - Ex 13.2,  10 - Ex 13.2 - Serial order wise - Chapter 13 Class 11 Statistics

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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 and Computer Science at Teachoo