Mathematics Higher Level Robert Joinson

Higherdistinguishable from the other. One would bedesignated for the first digit and the other thesecond digit. Throw the dice and write down thenumbers.b) Use the same method with three dice.2) a) Allocate each of the numbers 1 to 77 to each ofthe 77 people. Now go through the table pickingoff the first 10 numbers with values of 77 or less.These numbers would indicate the 10 chosenmales.b) 11, 55, 59, 38, 33, 25, 34, 14, 74, 39c) The largest 2 digit number would be 99. Sincethere are 265 people in this group you wouldneed to use a table containing 3 digits.d) A table of 3 digit numbers.89 3 Dimensional Co-ordinates 11) (4,6,8) 2) a) (0,0,1) (1,0,1) (0,1,0) (1,1,0) (1,1,1)(0,1,1) b) (i) (2,2,2) (3,2,2) (3,2,3) (2,2,3)(2,3,3) (2,3,2) (3,3,2) (3,3,3) (ii) (2.5, 2.5, 2.5)3) (0, 2, 0) (2, 0, 0) (2, 0, 2) (2, 2, 0)4) a) (3, 3, 2) (5, 3, 4) (1, 3, 4) (3, 1, 4) (3, 5, 4)(3, 3, 6) b) (3, 3, 4)5) a) (0, 0, 3) (0, 4, 0) (5, 0, 3) (5, 4, 3)b) (2.5, 0, 1.5) (5, 2, 1.5) (2.5, 4, 1.5) (0, 2, 1.5)(2.5, 2, 0) (2.5, 2, 3)90 3 Dimensional Co-ordinates 21) (1, 0, 2)2) a) (1, –1, 2) (5, –1, 2) (5, 3, –2) (5, 3, 2) (1, 3, 2)(1, 3, –2)b) (i) (3, 1, 0) (7, 1, 0) (3, 1, 4) (7, 1, 4) (7, 5, 0)(7, 5, 4) (3, 5, 4) (3, 5, 0)(ii) (5, 3, 2)3) (–3,0,–1) (–1,–2,1) (–1,0,–1) (–1,–2,–1)4) a) 6 units b) (1, –3, 1) (–2, 0, 1) (1, 3, 1) (4, 0, 1)(1, 0, –2) (1, 0, 4) c) (1, 0, 1) d) (6, 6, 0)5) a) (–7, –3, –3) (–3, –6, –3) (–3, –6, –5)(–3, –3, –5)b) (–5, –6, –4) (–7, –4.5, –4) (5, –3, –4)(–3, –4.5, –4) (–5, –4.5, –3) (–5, –4.5, –5)c) (–5, –4.5, –4) d) 2×3×4 e) (4, 3, 2)91 Moving Averagesa) There needs to be at least 8 weeks data to calculatean 8 week moving average.b) At the end of week 8c)d) The trend is down92 Box Plots1)2)DayValue of a sharein pence1 2512 2633 2944 3305 3506 3457 3428 3409 33610 33111 33012 32113 31514 30215 32116 31717 32018 31819 30720 301212223243312873053068 week movingaverage314.4325.0333.5338.0336.9332.5327.1324.5321.6319.6318.0315.1312.6314.6312.8310.8309.4200 300 400 500Regular200 300 400 500 600 700 800 900Life of bulbs (in hours)Page 107Super1,000The Super bulbs last longer in general than the Regularbulbs. However there is an overlap, with someRegular bulbs lasting longer than the Super ones.3) Machine A. Both the upper and lower quartiles lieoutside the acceptable range indicating that less than50% of the rods are acceptable.Machine B. Both the upper and lower quartiles liewithin the acceptable range indicating that more than