Mathematics Higher Level Robert Joinson

Higher63. Sampling1) a) 14, 12, 14, 12, 12, 4, 2b) Do you watch TV ? Yes/noWhat is your gender ? Male/femaleWhich channels do you watch mostly ? 1, 2, 3 etc.Which types of programmes do you mainlywatch ? Plays, sport, news etc.2) a) 10, 14, 10, 4, 2b) Are you happy with your working conditions ?What areas of your working environment needto be improved?What type of work do you do ?How old are you ?Gender, male/female.c) Age range, type of work undertaken, gender etc.3) a) 19, 37, 33, 11b) i) What would you like to see improved in thecentre ?ii) Which facilities do you use most often?iii) Would you use other facilities if they wereintroduced ? Yes/noiv) What other facilities do you think ought to beintroduced ? (give a choice)64. Scatter Diagrams1) b) 2352) a) 7:30 pm b) 3˚C c) 4:45 pm3) a) 15.5 tonnes (approximately) b) 4.8 minutes65. Pie Charts1) Business stock £5972 Employee costs £14722Premises £7361 General administration £10278Advertising £3889 Other costs £77782) Angles 115.2˚, 43.65˚, 37.35˚, 59.4˚, 83.25˚, 21.15˚3) a) 1008 b) 140˚ d) 12666. Flow Charts 11) n S40 160341 168442 176743 185244 193945 2028There are 44 numbers less than 20002) W. Jones - MeritJ. Connah - PassC. Smith - DistinctionH. Patel - Pass67. Flow Charts 21) 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377,610, 987, 1597, 2584, 4181.Each number is obtained by adding together theprevious two numbers.2) M = 8 It calculates the mean of a list of numbers.68. Histograms 11) a)b) mean = 21.83 minutesc) 35%2) a)b)c) 60–7069. Histograms 21) a)b) mean = 35.452) a)b) 40 < x ≤ 60 is the modal range70. Histograms 31) a)b)90 110 130c) 50%Page 103Time 0– 5– 10– 15– 20– 25– 30– 35– 40– 45–50Freq 7 12 22 28 33 24 14 8 6 3Mass 40– 50– 60– 70– 80– 90– 100–110Freq. 5 6 14 12 9 5 4SpeedNo.ofcars15105Age 15– 25– 30– 35– 45– 60–70People 18 21 28 32 12 620 < x ≤ 30 30 < x ≤ 40 40 < x ≤ 60 60 < x ≤ 70 70 < x ≤ 10036 80 208 112 60Height in cm No. of plants Frequency density90 < x ≤ 100 5 0.5100 < x ≤ 105 4 0.8105 < x ≤ 115 16 1.6115 < x ≤ 120 9 1.8120 < x ≤ 130 12 1.2130 < x ≤ 140 4 0.40.20.150.10.05