-
-
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Thursday 25 May 2023
Afternoon Paper
reference 8MA0/21
Mathematics
Advanced Subsidiary
PAPER 21: Statistics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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 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 statistical tables should be quoted in full. If a calculator is used instead of
•
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• 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 marks for each question are shown in brackets
– use this as a guide as to how much time to spend 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. Turn over
P72818A
©2023 Pearson Education Ltd. *P72818A0112*
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Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
1. The histogram and its frequency polygon below give information about the weights, in
grams, of 50 plums.
DO NOT WRITE IN THIS AREA
14
12
10
Frequency density 8
6
4
2
0
60 61 62 63 64 65 66 67 68
DO NOT WRITE IN THIS AREA
Weight (grams)
(a) Show that an estimate for the mean weight of the 50 plums is 63.72 grams.
(2)
(b) Calculate an estimate for the standard deviation of the 50 plums.
(2)
Later it was discovered that the scales used to weigh the plums were broken.
Each plum actually weighs 5 grams less than originally thought.
(c) State the effect this will have on the estimate of the standard deviation in part (b).
Give a reason for your answer.
(1)
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2
*P72818A0212*
, -x- Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
Question 1 continued
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DO NOT WRITE IN THIS AREA
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DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 5 marks)
3
*P72818A0312* Turn over
-
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Thursday 25 May 2023
Afternoon Paper
reference 8MA0/21
Mathematics
Advanced Subsidiary
PAPER 21: Statistics
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
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 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 statistical tables should be quoted in full. If a calculator is used instead of
•
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• 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 marks for each question are shown in brackets
– use this as a guide as to how much time to spend 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. Turn over
P72818A
©2023 Pearson Education Ltd. *P72818A0112*
N:1/1/1/1/1/
,-
Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
1. The histogram and its frequency polygon below give information about the weights, in
grams, of 50 plums.
DO NOT WRITE IN THIS AREA
14
12
10
Frequency density 8
6
4
2
0
60 61 62 63 64 65 66 67 68
DO NOT WRITE IN THIS AREA
Weight (grams)
(a) Show that an estimate for the mean weight of the 50 plums is 63.72 grams.
(2)
(b) Calculate an estimate for the standard deviation of the 50 plums.
(2)
Later it was discovered that the scales used to weigh the plums were broken.
Each plum actually weighs 5 grams less than originally thought.
(c) State the effect this will have on the estimate of the standard deviation in part (b).
Give a reason for your answer.
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P72818A0212*
, -x- Ian Ching Hei Chau , , 1C Anglesey Drive, , Stockport, England, United Kingdom, SK12 1BT
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 5 marks)
3
*P72818A0312* Turn over
