Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Question 3: Find the mean and variance for the first 10 multiples of 3 Solution 3: The first 10 multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30 Here, number of observations, n = 10 10 i i1x 165 Mean, x= 16.5 10 10 The following table is obtained. x i xi x 2 x i x 3 â€“13.5 182.25 6 â€“10.5 **11**0.25 9 â€“7.5 56.25 12 â€“4.5 20.25 15 â€“1.5 2.25 18 1.5 2.25 21 4.5 20.25 24 7.5 56.25 27 10.5 **11**0.25 30 13.5 182.25 742.5 10 2 1 2 1 Variance x1 x 742.5 74.25 n i1 10 Question 4: Find the mean and variance for the data x 6 10 14 18 24 28 30 i f 2 4 7 12 8 4 3 i Solution 4: x i f i fi x i xi x x x 2 i i 6 2 12 â€“13 169 338 10 4 40 â€“9 81 324 14 7 98 â€“5 25 175 18 12 216 â€“1 1 12 f x x 2 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 ______________________________________________________________________________ 24 8 192 5 25 200 28 4 **11**2 9 81 324 30 3 90 **11** 121 363 40 760 1736 Here, N = 40, fx 760 7 7 i=1 1 1 fx 760 19 N 40 2 1 7 2 1 Variance = f1 x1 x 1736 43.4 N i=1 40 1 1 i1 x Question 5: Find the mean and variance for the data x 92 93 97 98 102 104 109 i f i 3 2 3 2 6 3 3 Solution 5: The data is obtained in tabular form as follows. x i f i fi x i xi x x x 2 x x i i 92 3 276 â€“8 64 192 93 2 186 â€“7 49 98 97 3 291 â€“3 9 27 98 2 196 â€“2 4 8 102 6 612 2 4 24 104 3 312 4 16 48 109 3 327 9 81 243 22 2200 640 Here, N = 22, 7 fx i i=2200 i1 1 7 1 i1 i i x= f x 2200 100 n 22 1 2 1 N i1 22 7 2 i i Variance f x x 640 29.09 f 2 i Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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