Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Solution 9: The following table is formed. Income per Number of day persons f i Mid-point x i fi x i xi x fi xi 0 a €” 100 4 50 200 308 1232 100 a €” 200 8 150 1200 208 1664 200 a €”300 9 250 2250 108 972 300 a €”400 10 350 3500 8 80 400 a €”500 7 450 3150 92 644 500 a €”600 5 550 2750 192 960 600 a €”700 4 650 2600 292 **11**68 700 a €”800 3 750 2250 392 **11**76 50 17900 7896 8 8 Here, N f 50, f x 17900 i i i i1 i1 1 8 1 i i N i1 50 1 8 1 i i i1 x= f x 17900 358 M.D. x f x x 7896 157.92 N 50 x Question 10: Find the mean deviation about the mean for the data Height in cms Number of boys 95-105 9 105-**11**5 13 **11**5-125 26 125-135 30 135-145 12 145-155 10 Solution 10: The following table is formed. Height in Number of cms boys f i Mid-point x i Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor. fi x i xi x fi xi 95-105 9 100 900 25.3 227.7 105-**11**5 13 **11**0 1430 15.3 198.9 **11**5-125 26 120 3120 5.3 137.8 x

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 125-135 30 130 3900 4.7 141 135-145 12 140 1680 14.7 176.4 145-155 10 150 1500 24.7 247 6 6 Here, N f 100, f x 12530 i i i i1 i1 1 6 1 i i N i1 100 1 6 1 i i i1 x= f x 12530 125.3 M.D. x f x x **11**28.8 **11**.28 N 100 Question **11**: Calculate the mean deviation about median age for the age distribution of 100 persons given below: Age Number 16-20 5 21-25 6 26-30 12 31-35 14 36-40 26 41-45 12 46-50 16 51-55 9 Solution **11**: The given data is not continuous. Therefore, it has to be converted into continuous frequency distribution by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit of each class interval. The table is formed as follows. Age Number f Cumulative i Mid-point x i frequency (c.f) i i 15.5-20.5 5 5 18 20 100 20.5-25.5 6 **11** 23 15 90 25.5-30.5 12 23 28 10 120 30.5-35.5 14 37 33 5 70 35.5-40.5 26 63 38 0 0 40.5-45.5 12 75 43 5 60 45.5-50.5 16 91 48 10 160 50.5-55.5 9 100 53 15 135 10 735 xa "Med. f x a "Med. i Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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