Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Exercise 15.1 Book Name: **NCERT** Solutions Question 1: Find the mean deviation about the mean for the data 4, 7, 8, 9, 10, 12, 13, 17 Solution 1: The given data is 4, 7, 8, 9, 10, 12, 13, 17 478910 12 1317 80 Mean of the data, x 10 8 8 The deviations of the respective observations from the mean x , i.e. x x, are â€“6, â€“ 3, â€“2, â€“1, 0, 2, 3, 7 The absolute values of the deviations, i.e. 6, 3, 2, 1, 0, 2, 3, 7 The required mean deviation about the mean is 8 xi x , are xi x i1 63 210 237 24 M.D.( x )= 3 8 8 8 i Question 2: Find the mean deviation about the mean for the data 38, 70, 48, 40, 42, 55, 63, 46, 54, 44 Solution 2: The given data is 38, 70, 48, 40, 42, 55, 63, 46, 54, 44 Mean of the given data, 38 70 48 40 42 55 63 46 54 44 500 x 50 10 10 The deviations of the respective observations from the mean x , i.e. xi x, are â€“12, 20, â€“2, â€“10, â€“8, 5, 13, â€“4, 4, â€“6 The absolute values of the deviations, i.e. x x , are 12, 20, 2, 10, 8, 5, 13, 4, 4, 6 The required mean deviation about the mean is xi x i1 M.D.( x) 10 8 i Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 12 20 210 8513 446 = 10 = 84 10 =8.4 Question 3: Find the mean deviation about the median for the data. 13, 17, 16, 14, **11**, 13, 10, 16, **11**, 18, 12, 17 Solution 3: The given data is 13, 17, 16, 14, **11**, 13, 10, 16, **11**, 18, 12, 17 Here, the numbers of observations are 12, which is even. Arranging the data in ascending order, we obtain 10, **11**, **11**, 12, 13, 13, 14, 16, 16, 17, 17, 18 th 12 12 observation 1 observation 2 2 Median, M= 2 th th 6 observation + 7 observation 2 1314 27 13.5 2 2 The deviations of the respective observations from the median, i.e. xi M, are â€“3.5, â€“2.5, â€“2.5, â€“1.5, â€“0.5, â€“0.5, 0.5, 2.5, 2.5, 3.5, 3.5, 4.5 The absolute values of the deviations, x M are 3.5, 2.5, 2.5, 1.5, 0.5, 0.5, 0.5, 2.5, 2.5, 3.5, 3.5, 4.5 The required mean deviation about the median is 12 xi i 1 M. D.( M) M 12 3.5 2.5 2.5 1.5 0.5 0.5 0.5 2.5 2.5 3.5 3.5 4.5 12 28 2.33 12 i th Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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