Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 1 1797.76 50 1 3.54 50 0.07 Standard deviation Length 0.07 0.26 1 Standard deviation 0.26 C.V.(Length) = 100 100 6.13 Mean 4.24 50 50 2 i1 i i1 i 1 50 1 i1 i y 261, y 1457.6 Mean, y= y 261 5.22 N 50 50 2 1 2 Variance y -y 1 i N i1 1 50 2 yi-5.22 50 i1 1 50 2 yi 10.44y i 27.24 50 i1 1 50 50 2 yi 10.44 yi 27.24 50 50 i1 i1 1 1457.6 10.44 (261) 1362 50 1 2819.6 2724.84 50 1 94.76 50 1.89 2 Standard deviation Weight 1.89 1.37 Standard deviation 1.37 C.V.(Weight) = 100 100 26.24 Mean 5.22 Thus, C.V. of weights is greater than the C.V. of lengths. Therefore, weights vary more than the lengths Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Miscellaneous Exercise Question 1: The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations. Solution 1: Let the remaining two observations be x and y. Therefore, the observations are 6, 7, 10, 12, 12, 13, x, y. 6+7+10+12+12+13+x+y Mean, x= 9 8 60 x y 72 x y12 ...... 1 1 8 2 variance=9.25= x n i x i1 1 9.25 3 2 1 3 4 29 2 9 8 1 2 2 9.25 9 4 1 9 9 16 x y 1812 162 8 ..... using 1 1 2 2 9.25 48 x y 216 162 8 1 2 2 9.25 x y 6 8 2 2 x y 80 .... 2 2 2 x y x y 2 2 2 2 2 2 From (1), we obtain x2 + y2 + 2xy = 144 â€¦(3) From (2) and (3), we obtain 2xy = 64 â€¦ (4) Subtracting (4) from (2), we obtain x2 + y2 â€“ 2xy = 80 â€“ 64 = 16 ⇒ x â€“ y = Â± 4 â€¦ (5) Therefore, from (1) and (5), we obtain x = 8 and y = 4, when x â€“ y = 4 x = 4 and y = 8, when x â€“ y = â€“4 Thus, the remaining observations are 4 and 8. Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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