Following is the distribution of I.Q. of 100 students. Find the median I.Q. `I.Q.`55-64  65-74  75-84  85-94  95-104  105-114  115-124  125-134  135-144 No. of Students:     1      2       9      22     33      22        8          2          1

Find the image of the following sets under the mapping f(x)= x^4 -8x^3 +22x^2 -24x + 10 (i) (-oo,1)

Following frequency distribution given the weights of 38 students of a class: Weight in Kg: 31-35 36-40, 41-45, 46-50, 51-55, 56-60 61-65, 66-70 71-75 No. of students 9 5 14 3 1 2 2 1 1 Find the probability that weight of a student in the class is: (i)at most 60 kg (ii)at least 36 kg (iii)not more than 50kg. Also define two events in this context, one having probability 0 and the other having probability 1.

If the x-coordinate of a point P on the join of Q(22,1)a n dR(5,1,-2)i s4, then find its z- coordinate.

Write the following sets m the setbuilder form:(i) (3, 6, 9, 12} (ii) {2, 4, 8, 16 , 32} (iii) {5, 25 , 125 , 625} (iv) {2, 4, 6,...} (v) {1, 4, 9,..., 100}

Find the distance between the following pairs of points : (i) (-2, 1, -3) and (4, 3, -6) (ii) (9, -12, -8) and (0,0,0) (iii) (2,1,-3) and (2, 3, -3) (iv) (1,0,0) and (4, 4, 5)

An insurance company selected 2000 drivers at random in a particular city to find a relationship between age and accidents. The obtained are given in the following table: Age of Drivers (in years) Accidents in one year 0 1 2 3 over 3 18-29 30-50 above 50 440 505 360 160 125 45 110 60 35 61 22 15 35 18 9 Find the probability of the following events for a driver chosen at random from the life city: i) being 18-29 years of age and having exactly 3 accidents in one year. ii) being 30-50 years of age and having one or more accidents in a year. iii) having no accidents in one year.

Construct a frequency distribution table for the following data, taking class-intervals 4-6, 6-8 , ............. 14-16 . 11.5, 6.3, 7.8, 9.2, 10.5, 4.5, 6, 8.3, 12.5, 15.8, 7.4, 5.3, 8.4, 15.2, 8.9, 9.8, 8.25, 6.5, 5.8, 10.5, 14.2, 15.3, 11.7, 9.9, 8.8, 6.6, 4.3, 4.7, 9.4, 10.1, 15.5, 14.4, 12.2, 7.7, 5.5 .

The median for the following frequency distribution is : {:(x_(i) " :",1,2,3,4,5,6,7,8,9),(f_(i)" :",8,10,11,16,20,25,15,9,6):}

Find the median for the following frequency distribution : {:("Marks obtained"(x_(i)),29,32,34,27,42,37),("Number of students"(f_(i)),2,5,10,12,8,4):}