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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 = = 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 = 8 M.D.( ) = 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.( ) = 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

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.