EXERCISE 13. 4 Q NO. 5, 6 AND 7

Find the mode of (i) 7, 7, 8, 10, 10, 11,13, 14 (ii) 4, 5, 6, 7, 8, 7, 6, 5, 3, 4, 6, 7, 6

State with reason whether following functions have inverse (i) f:{1,2,3,4} ->{10} " with " f={(1, 10),(2, 10),(3, 10),(4, 10)} (ii) g:{5, 6, 7, 8}->{1,2,3,4}" with "g={(5, 4),(6, 3),(7, 4),(8, 2)} (iii) h : {2, 3, 4, 5} → {7, 9, 11, 13}" with "h = {(2, 7), (3, 9), (4, 11), (5, 13)}

Find the sum of the following algebraic expressions : 4p + 3q + 5r , 6p - 4q - r , 2p + q + 7r

Find the standard deviation for the following data: (i) x : , 3, 8, 13, 18, 23 f: , 7, 10, 15, 10, 6 (ii) x : , 2, 3, 4, 5, 6, 7, 7 f: , 4, 9, 16, 14, 11, 6, 6

There are n sets of observation given as (1),(2, 3), (4, 5, 6), (7, 8, 9, 10),….. The mean of the 13^("th") set of observation is equal to

Find : (i) 7/3 -: 2 (ii) 4/9 -: 5 (iii) 6/13 -: 7 (iv) (4) 1/3 -: 3 (v) (3)1/2 -: 4 (vi) (4) 3/7 -: 7

Find the Q2 for the following distribution: 6, 7, 8, 3, 11, 19, 10, 15, 17, 13, 20, 5, 18

Median of the numbers 4,4,5,7,6,7,7,3,12 is (i) 4 (ii) 5 (iii) 6 (iv) 7

If A={1,2,3,4,5},\ B={4,5,6,7,8},\ C={7,8,9, 10 , 11}a n d\ D={10 , 11 , 12 , 13 , 14} . Find: AuuBuuD

Find the value of p , the mean of the following distribution is 7.5 x: 3 5 7 9 11 13 f: 6 8 15 p 8 4