(ii) 1 1 mark for the correct answer Median = 29 = 23.5 = 37.5 QM QL QU = 37.5 23.5 = 14 IQR – (iii) Outliers if less than × 1.5 ×14 1 1 for correct answer. QL IQR = − 1.5 23.5− = 23.5 21 – = 2.5 So 2 is an outlier as it is less than 2.5. (b) 2 2 marks for correct answer, regardless of rounding. 1 mark for an incorrect answer which includes some of the correct working for the conversions required. (c) 1 1 mark for correct answer 2 2 marks for correct answer. 1 mark for an answer which calculates the dividend correctly with other errors. or makes a minor error in an otherwise correct calculation of the answer. (d) 2 2 marks for correct answer, regardless of rounding. 1 mark for an incorrect answer which includes either the correct volume or correct working for the percentage of the saving.
(ii) Median QM = 29 QL = 23.5 QU = 37.5 IQR = 37.5 – 23.5 = 14 1 1 mark for the correct answer (iii) Outliers if less than QL − 1.5 × IQR = 23.5− 1.5 ×14 = 23.5 – 21 = 2.5 So 2 is an outlier as it is less than 2.5. 1 1 for correct answer. (b) 2 2 marks for correct answer, regardless of rounding. 1 mark for an incorrect answer which includes some of the correct working for the conversions required. (c) 1 1 mark for correct answer 2 2 marks for correct answer. 1 mark for an answer which calculates the dividend correctly with other errors. or makes a minor error in an otherwise correct calculation of the answer. (d) 2 2 marks for correct answer, regardless of rounding. 1 mark for an incorrect answer which includes either the correct volume or correct working for the percentage of the saving.
wme_hsc_solutions_mathematics_general_2_2015.docx