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9709/51

Mathematics 9709/51 — May/June 2023

Cambridge AS Level · Probability & Statistics 1 · worked solutions for every part, with the mark scheme

7
questions
50
marks
75
minutes

Topics Representation of Data · Permutations and Combinations · Probability · The Normal Distribution · Discrete Random Variables

Q1Representation of DataFree sample

A summary of 50 values of xx gives

∑(x−q)=700,∑(x−q)2=14 235,\sum(x - q) = 700, \quad \sum(x - q)^2 = 14\,235,

where qq is a constant.

(a)

Find the standard deviation of these values of xx.

2M
(b)

Given that ∑x=2865\sum x = 2865, find the value of qq.

2M

The rest of this paper

6 more questions
  • Q2Permutations and Combinations5M
  • Q3Permutations and Combinations · Probability6M
  • Q4The Normal Distribution9M
  • Q5Representation of Data7M
  • Q6Discrete Random Variables · The Normal Distribution11M
  • Q7Discrete Random Variables · Probability8M
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