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May 2025 Edexcel: AS Level Mathematics 8MA0/21 Statistics – Combined Question Paper & Mark Scheme

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May 2025 Edexcel: AS Level Mathematics 8MA0/21 Statistics – Combined Question Paper & Mark Scheme 1. The random variable X ~ B(20, 0.37) (a) Find P(X = 8) (b) Find P(X 5) (c) Find P(X 5.7) 2 (1) (1) (1) ■ ■ ■ ■ DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued ■■■■ (Total for Question 1 is 3 marks) 3 Turn over DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2. Jasper is investigating the relationship between Daily Mean Pressure and Daily Mean Windspeed (Beaufort conversion) for Perth in 2015 using the data from the large data set. Treating the large data set for Perth in 2015 as the population, Jasper decides to use all the data available. (a) Write down the name given to this method of data collection. All of the Daily Mean Windspeed data for Perth in 2015 are classed as either “Light” or “Moderate”. Jasper splits the data for Perth in 2015 into Light days and Moderate days and draws a box plot for each set of data, but omits the lower tail for Light days. Light days Moderate days (1) Daily Mean Pressure, hPa The smallest three values of Daily Mean Pressure for Light days for Perth in 2015 are 1007, 1009 and 1010 hPa. An outlier in the first quartile is defined as any value more than 1.5×IQR below Q1 (b) (i) Determine if there are any outliers in the first quartile of Daily Mean Pressure for Light days. (ii) Hence, complete the box plot of Daily Mean Pressure for Light days. The box plot for Light days is based on data for 161 days. (c) Using your knowledge of the large data set, estimate the number of Moderate days with a Daily Mean Pressure of 1028 hPa and higher in the large data set for

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May 2025 Edexcel: AS Level Mathematics 8MA0/21
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May 2025 Edexcel: AS Level Mathematics 8MA0/21

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Uploaded on
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Advanced Subsidiary May 2025 Edexcel: AS Level Mathematics
8MA0/21 Statistics – Combined Question Paper
PAPER 21: Statistics & Mark Scheme




Candidates may use any calculator allowed 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
– there may in thethan
be more space spaces
youprovided
need.

• You should show sufficient working to make your methods clear.


Answers without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of

•Information
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.


The total mark for this part of the examination is 30. There are 5 questions.
–The
usemarks
this asfor each as
a guide question
to how are
muchshown
timeintobrackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
••Try to answer every question.
If you change your mind about an answer, cross it out and put your new answer and any


working underneath.
Check your answers if you have time at the end. Turn over


P76377A
©2025 Pearson Education Ltd.
Y:1/1/1/1/

,1. The random variable X ~ B(20, 0.37)

(a) Find P(X = 8)




DO NOT WRITE IN THIS AREA
(1)
(b) Find P(X 5)
(1)
(c) Find P(X 5.7)
(1)




DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA




2

■■■■

, Question 1 continued
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA




(Total for Question 1 is 3 marks)

3

■■■■ Turn over

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