Ex 13.2, 10 - Chapter 13 Class 11 Statistics
Last updated at May 7, 2024 by Teachoo
Chapter 13 Class 11 Statistics
Serial order wise
Transcript
Ex 13.2, 10 The diameters of circles (in mm) drawn in a design are given below: h = class size = 36.5 − 32.5 = 4 Mean(𝑥 ̅) = A + (∑▒𝑓𝑖𝑦𝑖)/(∑▒𝑓𝑖) ×ℎ = 42.5 + 25/100 ×4 = 42.5 + 1/4 ×4 = 43.5 Variance (𝜎)2 = ℎ2/N2 [𝑁∑▒𝑓𝑖𝑦𝑖2 − (∑▒𝑓𝑖𝑦𝑖)^2 ] = 42/1002 [100 × (199) – (25)2] = 16/10000 [19900 −625] = 16/10000 × 19275 = 30.84 ∴ Standard deviation (𝜎) = √Variance 𝜎 = √30.84 = 5.55
