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A-LevelMathematicsProbability and statistics9709/51 · May/June 2023 · Q14 Marks

A summary of 50 values of x gives Σ(x – q) = 700, Σ(x − q)² = 14235, where q is a constant.

  1. (a)Find the standard deviation of these values of x.[2]
  2. (b)Given that Σx = 2865, find the value of q.[2]

Mark scheme

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

  1. [M1] 14235 / a - (700 / a)² ; where a = 49, 50, 51.
  2. [A1] 9.4180677 rounded to at least 3SF.
  3. [M1] Forming equation with Σx, 50q and 700.
  4. [A1] If M0 scored, SC B1 for 43.3 WWW.

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About this question

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

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