Ex 13.2, 10 - Chapter 13 Class 11 Statistics
Last updated at May 7, 2024 by Teachoo
Standard deviation and variance - Continuous frequency (grouped data)
Standard deviation and variance - Continuous frequency (grouped data)
Last updated at May 7, 2024 by Teachoo
Ex 13.2, 10 The diameters of circles (in mm) drawn in a design are given below: h = class size = 36.5 β 32.5 = 4 Mean(π₯ Μ ) = A + (ββπππ¦π)/(ββππ) Γβ = 42.5 + 25/100 Γ4 = 42.5 + 1/4 Γ4 = 43.5 Variance (π)2 = β2/N2 [πββπππ¦π2 β (ββπππ¦π)^2 ] = 42/1002 [100 Γ (199) β (25)2] = 16/10000 [19900 β625] = 16/10000 Γ 19275 = 30.84 β΄ Standard deviation (π) = βVariance π = β30.84 = 5.55