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A-LevelMathematicsProbability and statistics9709/61 · May/June 2019 · Q46 Marks

The Mathematics and English A-level marks of 1400 pupils all taking the same examinations are shown in the cumulative frequency graphs below. Both examinations are marked out of 100. [Graphs shown below]

  1. Use suitable data from these graphs to compare the central tendency and spread of the marks in Mathematics and English.[6]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [6] Median Maths = 40. Indication of finding medians, such as mark on graph or reference marks to 700 pupils, condone poor terminology such as 'mean' M1 Median English = 55. Both values correct, condone 54<English<56 but 54, 56 get A0 A1 Median of English is larger than median of Maths. Correct statement, median must be referenced within answer. No credit if statement references 'means' B1 Range Maths is 100 or IQ range Maths = 80 – 12 = 68. Evidence of finding either both ranges or both IQ ranges i.e. see a minus M1 Range English is 60 or IQ range English = 62 – 42 = 20. Both ranges or IQR correct A1 Maths marks have more spread then English marks. Correct conclusion. Accept standard deviation but must see some figures B1

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2019 Paper 6 Variant 1, question 4.

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