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A-LevelMathematicsProbability and statistics9709/51 · Oct/Nov 2023 · Q14 Marks

The times taken by 120 children to complete a particular puzzle are represented in the cumulative frequency graph. [Figure on page 3]

  1. (a)Use the graph to estimate the interquartile range of the data.[2]
  2. (b)35% of the children took longer than T seconds to complete the puzzle. Use the graph to estimate the value of T.[2]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2023). The mark or mark type is shown in brackets.

  1. [M1] 30.5 <UQ < 31.25 – 23.25 < LQ < 24; Evidence of graph use must be seen at least once.
  2. [A1] 7.0 < IQR < 7.5; If MO scored, SC B1 for 7.0 < IQR < 7.5 www.
  3. [B1] Seen or implied by use on graph.
  4. [B1] 28 ≤ ans < 29

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Oct/Nov 2023 Paper 5 Variant 1, question 1.

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