Example 2 - Find mean deviation about mean 12, 3, 18, 17 - Mean deviation about mean - Ungrouped

Slide3.PNG

  1. Chapter 15 Class 11 Statistics
  2. Serial order wise
Ask Download

Transcript

Example 2 Find the mean deviation about the mean for the following data : 12, 3, 18, 17, 4, 9, 17, 19, 20, 15, 8, 17, 2, 3, 16, 11, 3, 1, 0, 5 Mean of the given data = 𝑆𝑢𝑚 𝑜𝑓 𝑎𝑙𝑙 𝑡𝑒𝑟𝑚𝑠﷮𝑇𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑒𝑟𝑚𝑠﷯ 𝑥﷯ = 12 + 3 + 18 + 17 + 4 + 9 + 17 + 19 + 20 + 15 + 8 + 17 + 2 + 3 + 16 + 11 + 3 + 1 + 0 + 5 ﷮20﷯ = 200﷮20﷯ = 10 Mean deviation about mean = ﷮﷮ 𝑥𝑖 − 𝑥﷯﷯﷯﷮8﷯ M.D.( 𝑥﷯) = 12 −10﷯ + 3 −10﷯ + 18 −10﷯ + 17 −10﷯ + 4 −10﷯ ﷮+ 9 −10﷯ + 17 −10﷯ + 19 −10﷯+ 20 −10﷯ + 15 −10﷯﷮+ 8 −10﷯ + 17 −10﷯ + 2 −10﷯ + 3 −10﷯ + 16 −10﷯﷮+ 11 −10﷯ + 3 −10﷯ + 1 −10﷯ + 0 −10﷯+ 16 −10﷯﷯﷯﷮20﷯ M.D.( 𝑥﷯) = 2﷯ + −7﷯ + 8﷯ + 7﷯ + −6﷯ + −1﷯ + 7﷯ + 9﷯+ 10﷯ + 5﷯﷮+ −2﷯ + 7﷯ + −8﷯ + −7﷯ + 6﷯+ 1﷯ + −7﷯ + −9﷯ + −10﷯+ 6﷯﷯﷯﷮20﷯ = 2 + 7 + 8 + 7 + 6 + 1 + 7 + 9 + 10 + 5 + 2 + 7 + 8 + 7 + 6 + 1 + 7 + 9 + 10 + 6﷮20﷯ = 124﷮20﷯ = 6.2

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
Jail