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Example 7 Calculate the mean deviation about median for the following data : Median = 𝑙 + 𝑁īˇŽ2īˇ¯ − đļīˇŽđ‘“īˇ¯ ×ℎ Where, 𝑙 = lower limits of median class N = sum of frequencies 𝑓 = frequency of median class C = Cumulative frequency of class before median class Here, 𝑙 = 20, N = 50, C = 13, ℎ = 10, 𝑓 = 15 Median = 𝑙 + 𝑁īˇŽ2īˇ¯ − đļīˇŽđ‘“īˇ¯ ×ℎ = 20 + 50īˇŽ2īˇ¯ −13īˇŽ15īˇ¯ × 10 = 20 + 25 −13īˇŽ15īˇ¯ × 10= 20 + 12īˇŽ15īˇ¯ × 10 = 20 + 8 = 28 Finding mean deviation about Median = īˇŽīˇŽđ‘“đ‘– đ‘Ĩ𝑖 − Mīˇ¯īˇ¯īˇŽ īˇŽīˇŽđ‘“đ‘–īˇ¯īˇ¯

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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.