Version 1,0
General Certificate of Secondary Education
Statistics
43101H
(Specification 4310)
Unit 1: Statistics Written Paper (Higher)
2nd Practice Paper
Mark Scheme
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questions, by a panel of subject teachers. This mark scheme includes any amendments made at the
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Mark Scheme – General Certificate of Secondary Education – Unit 1:Statistics Written Paper (Foundation)) – 2nd Practice Paper
Glossary for Mark Schemes
GCSE examinations are marked in such a way as to award positive achievement wherever possible. Thus,
for GCSE Mathematics papers, marks are awarded under various categories.
M
Method marks are awarded for a correct method which could lead
to a correct answer.
A
Accuracy marks are awarded when following on from a correct
method. It is not necessary to always see the method. This can be
implied.
B
Marks awarded independent of method.
E
Explain marks are awarded for a full and detailed explanation.
M Dep
A method mark dependent on a previous method mark being
awarded.
B Dep
A mark that can only be awarded if a previous independent mark
has been awarded.
ft
Follow through marks. Marks awarded following a mistake in an
earlier step.
SC
Special case. Marks awarded within the scheme for a common
misinterpretation which has some mathematical worth.
oe
Or equivalent. Accept answers that are equivalent.
eg, accept 0.5 as well as
1
2
3
Mark Scheme – General Certificate of Secondary Education - Unit 1:Statistics Written Paper (Foundation) – 2nd Practice Paper
Unit 1 Higher Tier
Answer
Q
Mark
Comments
1(a)
Men circled
and
the line for men is above the line for
women
B1
oe
1(b)
[1990, 1994]
B1
Any year in range
1(c)
The scale is not even ...
B1
oe
... so it is difficult to say / might not be
true
B1
oe
Many customers may be children
B1
oe
These adults may not be customers
B1
oe
2(a)
Accept small sample for either mark
2(b)
Adv : get results straight away
B1
oe
Dis: people do not like to be
interviewed
B1
oe
2(c)
How many computer games will you
buy for Christmas?
B1
oe
2(d)
Response boxes are exhaustive
B1
Response boxes are non-overlapping
B1
One A and One C
B1
Four Bs
B1
3(a)
3(b)(i)
12 
M1
1
6
2
3(b)(ii)
12 correct allocations
Accept equal numbers of As and Cs
oe
A1
B2 ft
B1ft At least six correct allocations
ft Their table in 3(a)
3(b)(iii)
Correct fraction, decimal or
percentage for their simulation
B2 ft
4
B1ft One correct for their simulation
Mark Scheme – General Certificate of Secondary Education – Unit 1:Statistics Written Paper (Foundation)) – 2nd Practice Paper
Answer
Q
4(a)(i)
Mark
Comments
Number houses 001 to 200
B1
oe
Select 30 random numbers within
range using random number tables or
equivalent method
B1
oe
Match random numbers to house
numbers
B1
oe
Ignore repeats / numbers too high
B1
oe
Each house has an equal chance of
selection
E1
4(b)
Empty houses, residents not at home
E1
oe
4(c)
45
 30
200
M1
Correct method for any street
6.75 12.3 9 1.95
A2
A1 For any 1 correct
7 12 9 2
A1ft
5(a)
3264 (000)
B1
5(b)
54 455  (25 523 + 3191 + 4069)
M1
21 672 (000)
A1
5(c)
Numbers increase
E1
5(d)
Includes all ages from birth onwards
E1
5(e)
3350  3156 (= 194)
M1
4(a)(ii)
(Their
M1
194
)  100
3350
5.8 or better
A1
5
Mark Scheme – General Certificate of Secondary Education - Unit 1:Statistics Written Paper (Foundation) – 2nd Practice Paper
Answer
Q
Mark
6(a)
Same price
E1
6(b)(i)
Use of n = 9
B1
6
6(b)(ii)
6(c)
6(d)(i)
6(d)(ii)
Comments
M1
24.5
(= 0.2042)
720
1  their 0.2042
M1
0.7958
A1
Some positive agreement/association
between number of pages and retail
price
E1
As the number of pages increase so does
the retail price of the book
Author, cover design, marketing,
reviews
E1
Any suitable alternative
Each additional page increases the
price by 2 p
E2
oe
y = 0.02  250 + 1.35 or
M1
Per page increase in price E1
y = 0.02  765 + 1.35
7(a)
7(b)(i)
7(b)(ii)
7(c)
(£) 6.35 (£) 16.65
A2
39.5
B1
34160
2
 (their 39.5) (= 147.75)
20
M1
their 147.75
M1
= [12.1, 12.2]
A1
(23 + 1) / 2 th (= 12th)
M1
42
A1
6th and 18th
M1
55  32
M1
23
A1
Lower quartile and upper quartile
known but highest value unknown
E2
6
A1 For either correct
2
oe (39.5) = 1560.25
Accept 12.47 from divisor n  1
SC1 For 40 from use of 20 drivers
E1 For either correct
Mark Scheme – General Certificate of Secondary Education – Unit 1:Statistics Written Paper (Foundation)) – 2nd Practice Paper
Answer
Q
8(a)
(0.6  180) or (0.75  36)
M1
108 or 27
A1
Boys
63
9
72
Girls
81
27
108
Total
144
36
180
8(b)(i)
1
or 0.05
20
8(b)(ii)
(108 + 144  81)
8(b)(iii)
8(c)
Mark
A2
Comments
A2 All correct
A1 At least 5 correct
B1 ft
M1
171
or 0.95
180
A1 ft
63
7
or
144
16
B2
36
180
B1
oe
36
35
34
,
,
180 179 178
M1
n
n 1
n2
,
,
m2
m m 1
36
35
34


180
179
178
M1
n 1
n
n2


oe
m
2
m
m 1
A1
oe
=
oe
B1ft For ‘their’ 63
B1ft For ‘their’ 144
42840
or 0.00747
5735160
SC2 (
7
1
)
125
oe
Mark Scheme – General Certificate of Secondary Education - Unit 1:Statistics Written Paper (Foundation) – 2nd Practice Paper
Answer
Q
Mark
Comments
9(a)
Data are rounded to the nearest
minute
E1
9(b)
f.density  interval
M1
Any one of 2 x 5.5, 1 x 25, 3 x 2
11 25 6
A2
A1 any one correct
fd = 22 5 1
B1
Heights correct
B1
Widths correct
B1
Positively skewed
E1
9(c)
9(d)
9(e)
(
1
 6)
2
8
M1
+5
A1 ft
A1
8
85
8
Mark Scheme – General Certificate of Secondary Education – Unit 1:Statistics Written Paper (Foundation)) – 2nd Practice Paper
Answer
Q
10(a)(i)
10(a)(ii)
Mark
Use of multiplier seen, eg 605  65
M1
605  65 + 490  120 + 448  24
M1
108877
A1
Their
M1
108877
 100
99350
Comments
Accept 109 000 with workings seen
109.5893…
A1ft
110
A1ft
10(b)
Yes, wages increasing at a slower
rate than the CPI (inflation)
E1ft
Accept yes; because 110 is less than 113.5
10(c)
Small weight (number of workers)
E1
Semi-skilled large weight but increase by
only 6.5%
11(a)
Use of 1.96 or 2
B1
374 + 1.96 (4) or 374  1.96 (4)
M1
366 or better
A1
382 or better
A1
(380  374 )
(380  375 )
or
4
3
M1
1.5
A1
1.67
A1
11(b)
A lower Z score
E1 ft
9
Accept 374 + 2(4) or 374  2(4)
or nearer to the standardised mean