Pearson Edexcel International Advanced Level Mathematics International Advanced Subsidiary/Advanced Level Statistics S1
QP 2024 Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Tuesday 21 May 2024
Morning (Time: 1 hour 30 minutes) Paper
reference WST01/01
Mathematics
🞍 🞍
International Advanced Subsidiary/Advanced Level
Statistics S1
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
••• Use black ink or ball‑point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• clearly labelled.
Answer the questions in the spaces provided
•
– there may be more space than you need.
You should show sufficient working to make your methods clear. Answers without
• working may not gain full credit.
Values from the statistical tables should be quoted in full. If a calculator is used instead of
•Information
the tables, the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
••• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
There are 6 questions in this question paper. The total mark for this paper is 75.
–The
usemarks
this asfor eachas
a guide question are shown
to how much in spend
time to brackets
on each question.
Advice
•• Read each question carefully before you start to answer it.
••
Try to answer every question.
Check your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer and any
working underneath. Turn over
,1. A researcher is investigating the growth of two types of tree, Birch and Maple. The
height, to the nearest cm, a seedling grows in one year is recorded for 35 Birch trees
and 32 Maple trees. The results are summarised in the back‑to‑back stem and leaf
Key: 5 | 6 | 3 means 65 cm for a Birch tree and 63 cm for a Maple tree
The median height that these Maple trees grow in one year is 45 cm.
(a) Find the value of k, used in the stem and leaf diagram.
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(1)
(b) Find the lower quartile and the upper quartile of the height grown in one year for
these Birch trees.
(2)
The researcher defines an outlier as an observation that is
greater than Q3 + 1.5 ×(Q3 – Q1) or less than Q1 – 1.5 ×(Q3 – Q1)
(c) Show that there is only one outlier amongst the Birch trees.
(2)
The grid on page 3 shows a box plot for the heights that the Maple trees grow in
one year.
(d) On the same grid draw a box plot for the heights that the Birch trees grow in
one year.
(4)
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(e) Comment on any difference in the distributions of the growth of these Birch trees
and the growth of these Maple trees.
State the values of any statistics you have used to support your comment.
(1)
The researcher realises he has missed out 4 pieces of data for the Maple trees. The
heights each seedling grows in one year, to the nearest cm, in ascending order, for these
4 Maple trees are 27 cm, a cm, 48 cm, 2a cm.
Given that there is no change to the box plot for the Maple trees given on page 3
(f) find the range of possible values for a
Show your working clearly.
(3)
2
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, Question 1 continued
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Birch
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Maple
10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90
Height grown (cm)
Turn over for spare grid if you need to redraw your answer for part (d)
3
🞍🞍🞍🞍 Turn over
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