Check sibling questions

Ex 15.2, 10 - Diameter of circles (in mm) drawn in a design - Standard deviation and variance - Continuous frequency (grouped data)

Ex 15.2,  10 - Chapter 15 Class 11 Statistics - Part 2
Ex 15.2,  10 - Chapter 15 Class 11 Statistics - Part 3

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.