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A-LevelMathematicsProbability and statistics9709/62 · Feb/Mar 2017 · Q14 Marks

Twelve values of x are shown below. 1761.6 1758.5 1762.3 1761.4 1759.4 1759.1 1762.5 1761.9 1762.4 1761.9 1762.8 1761.0 Find the mean and standard deviation of (x – 1760). Hence find the mean and standard deviation of x.

  1. (a)Find the mean and standard deviation of (x – 1760). Hence find the mean and standard deviation of x.[4]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2017). The mark or mark type is shown in brackets.

  1. [M1] Subtracting 1760, allow max 2 slips (for values of x-1760)
  2. [A1] Mean = 1.23
  3. [A1] sd = 1.39
  4. [A1] Mean of x = 1761.23, sd of x = 1.39 ft their coded mean and sd.
  5. SR B1 correct mean and sd without use of coded process

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About this question

Topic
Probability and statistics, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2017 Paper 6 Variant 2, question 1.

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