Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Question 4: Find the mean deviation about the median for the data 36, 72, 46, 42, 60, 45, 53, 46, 51, 49 Solution 4: The given data is 36, 72, 46, 42, 60, 45, 53, 46, 51, 49 Here, the number of observations is 10, which is even. Arranging the data in ascending order, we obtain 36, 42, 45, 46, 46, 49, 51, 53, 60, 72 10 10 observation+ 1 observation 2 2 Median M= 2 th th 5 observation+6 observation th 2 46 49 95 47.5 2 2 The deviations of the respective observations from the median, i.e. â€“**11**.5, â€“5.5, â€“2.5, â€“1.5, â€“1.5, 1.5, 3.5, 5.5, 12.5, 24.5 The absolute values of the deviations, x M , are **11**.5, 5.5, 2.5, 1.5, 1.5, 1.5, 3.5, 5.5, 12.5, 24.5 Thus, the required mean deviation about the median is 10 i th x M are xi M i1 **11**.5 5.5 2.5 1.5 1.5 1.5 3.5 5.5 12.5 24.5 M.D.(M)= 10 10 70 7 10 i Question 5: Find the mean deviation about the mean for the data. x 5 10 15 20 25 i f 7 4 6 3 5 i Solution 5: x i f i fi x i xi x fi 5 7 35 9 63 10 4 40 4 16 xi x Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 15 6 90 1 6 20 3 60 6 18 25 5 125 **11** 55 25 350 158 5 i1 5 N= f 25 i1 f x 350 i i i 1 5 1 i i N i1 25 1 5 1 i i i1 x= f x 350 14 MD x f x x 158 6.32 N 25 Question 6: Find the mean deviation about the mean for the data x 10 30 50 70 90 i f 4 24 28 16 8 i Solution 6: x i f i fi x i xi x fi 10 4 40 40 160 30 24 720 20 480 50 28 1400 0 0 70 16 **11**20 20 320 90 8 720 40 320 80 4000 1280 5 5 N= f 80, f x 4000 i i i i1 i1 1 5 1 i i N i1 80 1 5 1 i i i1 x= f x 4000 50 MD x f x x 1280 16 N 80 xi x Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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