10 a b c Pictogram drawn with key Appropriate bar chart drawn Choice of either with justification such as the bar chart shows the increasing trend more clearly’ or ‘the pictogram is easier for readers to understand’. M1 M1 M1 M1 P1 2 M1 for pictogram M1 for key M1 for bar chart with at least four bars correctly drawn M1 for appropriate scale on y-axis e.g. going up in 2s P1 for justification of choice B 5 11 a b c d e Internet search, secondary data Experiment, primary data Internet search (or questionnaire), secondary (or primary) data Internet search (or questionnaire), secondary (or primary) data Questionnaire, primary data M1 M1 M1 M1 M1 2 M1 for each correct description Data handling cycle: Plan the data collection Collect the data Choose the best way to process and represent the data. Interpret the data and draw conclusions Primary data: collected by you Secondary data: used by you but collected by a third party B 5
26 a/b c d e Scatter diagram completed with line of best fit Ben is most likely to be the student who was sick when they took maths as his score is much lower than his music score. Kris is likely to have scored around 40 marks in music as all students except Ben scored similar but less in music than in maths (see trend line) Lex could have scored 85 in maths with a 78 score in music (see trend line) M1 M1 C1 P1 P1 3 M1 for correct points plotted on scatter diagram M1 for line of best fit C1 for choice of student with valid reason oe P1 for score for music based on their trend line (ft) P1 for score for maths based on their trend line (ft) M 5
41 RangeA = 86 – 18 = 70 RangeB = 45 – 22= 23 MeanA = = 31.555… MeanB= = 27.888… Valid advice based on the salary scales provided (see notes) e.g. Jasmin should join firm B if she is prepared to accept that the higher final salary is not as high as A. However, the starting salary is higher and Jasmin can progress more quickly to a higher salary with B than A. There is a greater range of salaries in firm A than firm B Jasmin should join firm A if she aspires to being the boss. Alternatively she could start with firm B and move to firm A after 7 salary increments for maximum earnings. M1 M1 M1 M1 P1 C1 2 M1 for calculation of ranges M1 for calculation of means M1 for identification of medians M1 for identification of modes P1 for justification of either firm A or firm B C1 for use of table oe for comparison H 6
42 a b c d e.g. 0 ≤ x <5; 5 ≤ x < 25; 25 ≤ x < 32 Estimated range (from mid-points) = 28.5–2.5 e.g. n = 11 hence 6th data point is the median Estimated median (from mid-point) = 46 e.g. n = 11 hence 6th data point is the median Estimated median (from mid-point) = 22.5 Estimated range (from mid-points) = 72–10 = 62 e.g. Estimated mean = 1296 ÷ 36 = 36 (to one decimal place) M1 M1 M1 M1 M1 M1 2 3 M1 for correct example (class widths do not need to be equal) M1 for correct example (class widths do not need to be equal) M1 for correct example of estimated median M1 for correct example of estimated range(class widths do not need to be equal) M1 for correct division: (sum of frequencies × ÷ (total frequency) M1 for correct example of estimated mean (ft) (class widths do not need to be equal) H 6
45 a b i ii The following statement is more precise: ‘There is strong evidence to support my hypothesis’. In reality it is usually not possible to prove a hypothesis just to gather evidence to support it. Because you may not have gathered enough evidence. Because you haven’t gathered enough evidence or you’re using a ‘null’ hypothesis. P1 P1 P1 2 P1 for selection of ‘There is strong evidence to support my hypothesis’ with explanation about practicalities of proving an hypothesis P1 for explanation of having sufficiently large sample/evidence P1 for giving same reason / an awareness of the practical difficulties of getting all other variables equal or unchanged so that they do not affect the success or otherwise of your evidence gathering oe H 3