Swiss Cottage Mock WA2 2023.Ans

1)(a)(i) 60 15100 75%60  (ii) 23 (iii) 29 16 13 (b) Since the three students’ scores were all below the mean, removing their scores will increase the mean score. 2(a) P 2.5 3 4.5  2(b) T 105 84 98 75 71 12 2.5 54 42 43 39 20 35 3 161 93 102 51 68 24 4.5               189 173 83 2.5 96 82 55 3 254 153 92 4.5            1365 651 1508  2(c) The elements of matrix T represents the total sales Mevin achieved for two weeks in the morning, afternoon and evening respectively. 2(d) Q 0.9 0 0 0 0.95 0 0 0 0.8  2(e) SRAQP 105 98 71 0.9 0 0 2.5 1 1 1 54 43 20 0 0.95 0 3 161 102 68 0 0 0.8 4.5                      0.9 0 0 2.5 320 243 159 0 0.95 0 3 0 0 0.8 4.5             It represent the total sale for the two weeks in the morning, afternoon and evening are $1365, $651 and $1508 respectively. -

2.5 288 230.85 127.2 3 4.5   1984.95 The elements in matrix S represents the total amount of sales achieved by Mevin after lowering his prices and selling the same quantity of items as week 1. 3)(a)(i) 93 62m Substitute (2 , 1 ) and 3 2m into ym x c 31 ( 2)2 c  4c Equation of line is 342yx (ii) OB AB OA      62 91     4 10  224 10OB  = 10.8 units (3 sf) (iii) 6 12 9 uk       6 12 9 uk k  12 9k 12689u It represent the total sale after the prices were lowered, based on the quantity sold in first week, is $1984.95. = XB Blmar=96 - - > AB=OB-OA -a=ABTOA * B -= k(AC//AB)*H or AB=KL (a)= k(i)6=ku, 9=12k G ,=8

(b)(i) SQ PQ PS      = p3 2q (ii) 2 3ST SQ    2 3pq PT PS ST      3 2q2 3pq (iii) SR SQ QR     = p3 2qq = p1 2q 4(a)(i) 45p 4(a)(ii) SD = 5.38 kg 4(a)(iii) The girls in dance academy B are generally heavier than that of A since their median weight at 57 kg is higher than that for A which lies in the range 50 55x. The median weight of the girls in dance academy B (57 kg) is higher than A ( 50 < x < 55 kg). Generally, the girls in dance academy B are heavier. # 2 p+s= p ↓ 1 2T t30R=21,OT:DS= 1:3 2 is+5== *=3 = a+5=sp,-Ess =>