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24

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BLANK PAGE

Pap

er 2

Fou

nd

atio

n t

ier

mar

k sc

hem

e

Que

stio

nnu

mbe

rA

nsw

er

Add

ition

al g

uida

nce

Mar

k

1(a)

B1

It is

a le

adin

g qu

estio

n / i

t is b

iase

d

B

1 fo

r ass

essi

ng th

e ap

prop

riate

ness

of t

he g

iven

que

stio

n (1

)

1(b)

B2

for a

com

plet

e an

swer

, e.g

.

Not

suita

ble

AN

D th

e re

spon

se b

oxes

ove

rlap

N

ot su

itabl

e A

ND

no

optio

n fo

r nev

er /

cann

ot sa

y 6

or

mor

e O

R if

B2

not e

arne

d...

B1

for a

n in

com

plet

e an

swer

e.

g. g

ivin

g re

ason

s but

no

conc

lusi

on

OR

B

1 fo

r one

of

C

onta

ins a

tim

e fr

ame

It is

a c

lose

d qu

estio

n w

hich

is b

ette

r tha

n an

ope

n qu

estio

n

B2

for a

sses

sing

the

appr

opria

tene

ss o

f the

giv

en q

uest

ion

and

reac

hing

the

corr

ect c

oncl

usio

n O

R if

B2

not e

arne

d...

B1

for a

n in

com

plet

e at

tem

pt a

t ass

essi

ng th

e ap

prop

riate

ness

of t

he g

iven

que

stio

n

(2)

65Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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Add

ition

al g

uida

nce

Mar

k

2(a)

B1

All

peop

le/it

ems h

ave

the

sam

e/eq

ual c

hanc

e of

bei

ng

chos

en.

B1

for d

emon

stra

ting

unde

rsta

ndin

g of

a ra

ndom

sam

ple

(1)

2(b)

B1B

1B1

for e

ach

of th

ree

aspe

cts f

rom

:

Get

a li

st /

regi

ster

(as t

he sa

mpl

ing

fram

e) o

f all

the

stud

ents

in th

e sc

hool

oe

N

umbe

r the

stud

ents

in th

e (s

ampl

ing

fram

e) li

st /

regi

ster

Gen

erat

e ra

ndom

num

bers

usi

ng a

cal

cula

tor /

co

mpu

ter /

rand

om n

umbe

r tab

le

St

uden

ts w

ith th

e m

atch

ing

num

ber a

re se

lect

ed

B1

3 fo

r dem

onst

ratin

g un

ders

tand

ing

of h

ow to

sele

ct a

ra

ndom

sam

ple

(3)

2(c)

B2

for a

com

plet

e an

swer

e.

g. th

e pl

an is

app

ropr

iate

AN

De.

g.th

e nu

mbe

r of h

ours

sp

ent o

n ho

mew

ork

mig

ht d

iffer

bet

wee

n sc

hool

yea

rs

OR

if B

2 no

t ear

ned.

.. B

1 fo

r an

inco

mpl

ete

answ

er

e.g.

the

plan

is a

ppro

pria

te, w

ith a

n at

tem

pt a

t a re

ason

O

R fo

r cor

rect

reas

on w

ithou

t con

clus

ion

B2

for c

ompl

ete

answ

er a

sses

sing

the

appr

opria

tene

ss o

f th

e su

gges

ted

plan

O

R if

B2

not e

arne

d...

B1

for a

n at

tem

pt a

t ass

essi

ng th

e ap

prop

riate

ness

of t

he

sugg

este

d pl

an

(2)

66 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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Add

ition

al g

uida

nce

Mar

k

3(a)

B1

car (

cao)

(1)

3(b)

B1

train

(cao

)

(1)

3(c)

B1

for a

ny o

ne li

mita

tion

of R

azw

an’s

con

clus

ion

e.

g.

Th

e da

ta o

nly

rela

tes t

o pe

ople

wor

king

at o

ne

com

pany

The

data

onl

y re

late

s to

one

mor

ning

/ pe

ople

mig

ht

use

diff

eren

t tra

nspo

rt on

oth

er d

ays

Th

is is

onl

y a

smal

l sam

ple

B1

for a

com

men

t ass

essi

ng th

e st

ated

con

clus

ion

(1)

4B

1B1B

1 fo

r thr

ee c

orre

ct th

ings

iden

tifie

d.

e.g.

No

labe

l for

the

third

row

Diff

eren

t sha

ped

sym

bols

(tria

ngle

s and

rect

angl

es)

D

iffer

ent s

ized

sym

bols

/ sy

mbo

ls n

ot a

ligne

d

N

o ke

y

No

title

B1 3

for d

emon

stra

ting

unde

rsta

ndin

g of

key

feat

ures

of a

pi

ctog

ram

(3

)

67Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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Add

ition

al g

uida

nce

Mar

k

5(a)

B1B

1B1

1st B

1 fo

r plo

tting

poi

nts c

orre

ctly

2nd

B1

for c

orre

ctly

con

nect

ing

poin

ts w

ith st

raig

ht li

nes

3rd B

1 fo

r lab

ellin

g bo

th a

xes (

hour

s for

ver

tical

axi

s and

da

ys o

f wee

k fo

r hor

izon

tal a

xis)

(3)

5(b)

M1

76

64

02

12

A1

3

M1

for a

ppro

pria

te a

dditi

on a

nd d

ivis

ion

by 7

(con

done

on

e er

ror)

A

1 ca

o

(2)

5(c)

M1

0

1

2

2 4

6

6

A

1

2

M1

for o

rder

ing

or u

sing

(n+1

)/2

A1

cao

(2)

5(d)

B1f

t D

iane

has

a lo

wer

mea

n th

an N

oah.

B

1ft

Dia

ne h

as a

hig

her m

edia

n th

an N

oah.

B

1 fo

r eac

h co

rrec

t sta

tistic

al c

oncl

usio

n (f

ollo

w th

roug

h th

eir v

alue

s in

(b) a

nd (c

) (2

)

68 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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Add

ition

al g

uida

nce

Mar

k

6(a)

B1B

1 fo

r tw

o co

rrec

t pro

blem

s e.

g.

D

ata

may

not

be

up to

dat

e

Dat

a m

ay n

ot b

e in

the

requ

ired

form

at

So

me

data

may

be

mis

sing

Rel

iabi

lity

of w

ebsi

te m

ay n

ot b

e kn

own

(2

)

6(b)

B1

Rug

by te

am m

ean

> fo

otba

ll te

am m

ean

B1

R

ugby

team

rang

e >

foot

ball

team

rang

e B

1 e.

g.

th

e ru

gby

team

are

hea

vier

/ fo

otba

ll te

am a

re li

ghte

r

the

rugb

y te

am h

ave

less

con

sist

ent w

eigh

ts /

the

foot

ball

team

hav

e m

ore

cons

iste

nt w

eigh

ts

B1B

1 fo

r cor

rect

stat

istic

al re

ason

ing

com

parin

g m

eans

an

d ra

nges

B

1 fo

r con

text

ual i

nter

pret

atio

n of

a c

ompa

rison

of m

eans

or

rang

es

(3)

6(c)

E.g.

not

abl

e to

acc

ess a

ll of

the

play

ers

B1

for a

ny su

itabl

e ap

prec

iatio

n th

at se

cond

ary

data

is

appr

opria

te

(1)

69Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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Add

ition

al g

uida

nce

Mar

k

7(a)

(i)B

1 Po

sitiv

e co

rrel

atio

n B

1 fo

r cor

rect

stat

istic

al c

oncl

usio

n (1

)

7(a)

(ii)

B1

The

judg

es w

ere

in re

ason

able

/goo

d ag

reem

ent o

e B

1 fo

r con

text

ual i

nter

pret

atio

n of

con

clus

ion

(1)

7(b)

B1

for a

nsw

er w

ith re

ason

, e.g

.

No

AN

D re

fere

nce

to th

e ch

ange

in c

onte

xt (s

pong

e ca

kes v

ersu

s flo

wer

arr

angi

ng)

Y

es, l

ikel

y to

giv

e si

mila

r ran

ks A

ND

refe

renc

e to

the

fact

that

the

judg

es h

ave

sim

ilar t

aste

s

(1

)

8(a)

B1

2

4 (1

)

8(b)

B1

1

9.5

(allo

w a

nsw

ers i

n th

e ra

nge

19.4

-19.

6)

(1)

8(c)

B1

L

ine

draw

n be

twee

n (1

70, 1

9)/(1

70, 2

0) a

nd (2

70, 2

4)/(2

70, 2

5)

(1)

8(d)

B1

P

ositi

ve

B1

S

trong

B

1

As t

he to

tal n

umbe

r of h

ours

of s

unsh

ine

incr

ease

s, th

e m

ean

max

imum

tem

pera

ture

incr

ease

s.

A re

spon

se th

at c

over

s all

3 as

pect

s can

scor

e 3

mar

ks

(3)

8(e)

(i)

8(e)

(ii)

B1f

t 2

1.5

- 22.

5 B

1

e.g

. ‘Th

e re

sult

has b

een

inte

rpol

ated

’

B1

for a

nsw

er in

rang

e 21

.5 -

22.5

or f

ollo

w th

roug

h va

lue

read

off

thei

r lin

e of

bes

t fit

with

pos

itive

gra

dien

t. B

1 fo

r und

erst

andi

ng th

at th

e es

timat

e is

mad

e w

ithin

the

rang

e of

giv

en x

– va

lues

(2)

70 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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Add

ition

al g

uida

nce

Mar

k

9(a)

M1

2800

0 –

1500

0

A1

1300

0 M

1 fo

r use

of 2

8000

and

150

00

(2)

9(b)

B1

for e

.g. ‘

Exac

t val

ues c

an’t

be re

ad o

ff g

raph

’ or ‘

As

valu

es c

ame

from

a p

ossi

bly

unre

liabl

e so

urce

(sec

onda

ry

data

) the

y co

uld

be in

exac

t’

B1

for r

easo

n re

latin

g to

act

ual v

alue

s are

unk

now

n/so

urce

of

dat

a m

ay b

e un

relia

ble

(1)

9(c)

B1

for d

ownw

ards

B

1 fo

r a c

orre

ct d

escr

iptio

n of

the

trend

(1

)

9(d)

B1

for e

.g. ‘

It w

ould

not

be

appr

opria

te to

do

this

as t

he

time

serie

s gra

ph o

nly

show

s inf

orm

atio

n fo

r 2 su

bjec

ts

(and

not

all

subj

ects

)’

B1

for n

ot a

ppro

pria

te w

ith c

orre

ct su

ppor

ting

reas

on

(1)

9(e)

B1

for e

.g. ‘

By

only

show

ing

the

data

from

201

4 on

war

ds’

B1

for s

elec

ting

the

part

of th

e da

ta se

t whi

ch sh

ows t

his

info

rmat

ion

(1)

9(f)

B2

for e

.g. ‘

Not

app

ropr

iate

sinc

e tre

nd m

ay n

ot c

ontin

ue’

B2

for a

sses

sing

the

use

of th

e tim

e se

ries g

raph

to p

redi

ct

futu

re w

ith a

ppro

pria

te c

oncl

usio

n O

R

B1

for ‘

Not

app

ropr

iate

’ with

inco

mpl

ete

reas

onin

g

(2)

71Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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nnu

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nsw

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Add

ition

al g

uida

nce

Mar

k

10(a

)B

2 0│

5566

789

1│22

2233

36

2│01

2223

344

3│04

5

B2

cao

OR

if B

2 no

t ear

ned

B1

for u

nord

ered

dia

gram

or o

rder

ed d

iagr

am w

ith a

t mos

t 2

erro

rs

(2)

10(b

)M

1 2

3 –

9

A1

=

14

M1

for a

ttem

pt a

t IQ

R w

ith a

t lea

st o

ne q

uarti

le (2

3 or

9)

corr

ect

A1

for 1

4 ca

o

(2)

10(c

)B

1 fo

r adu

lt m

edia

n is

13

B1f

t for

the

med

ian

for t

he a

dults

is h

ighe

r tha

n th

e m

edia

n of

the

child

ren

B1f

t (de

p) so

yes

Ale

x’s c

oncl

usio

n is

supp

orte

d by

the

data

.

B1

adul

t med

ian

is 1

3 B

1 fo

r cor

rect

com

men

t ass

essi

ng th

e ap

prop

riate

ness

of

the

conc

lusi

on

3rd B

1 is

dep

ende

nt u

pon

the

2nd B

1

(3)

11B

1 To

p rig

ht o

f grid

B

1 Sq

uare

s are

shad

ed d

arke

st in

this

regi

on.

B1

for a

cor

rect

ly id

entif

ying

the

regi

on (e

.g. N

E co

rner

) B

1 fo

r a st

atis

tical

reas

on re

latin

g to

use

of t

he k

ey.

(2)

12(a

)B

1 qu

antit

ativ

e

B

1 co

ntin

uous

B1

for o

ne id

entif

ied

B1

for b

oth

iden

tifie

d w

ith n

o ex

tras

(2)

12(b

)(i)

M1

16

44

A

1 30

M1

for c

orre

ctly

app

lyin

g a

scal

e to

find

a se

cond

val

ue

(impl

ied

eith

er b

y la

belli

ng a

scal

e or

cor

rect

ly fi

ndin

g on

e ot

her f

requ

ency

).

A1

for a

ll va

lues

cor

rect

.

(2)

12(b

)(ii)

M1M

1A1

88.510

030

844

616

410

2

M1

for c

onsi

sten

t use

of f

x w

ith x

with

in in

terv

al

M1

for c

orre

ct u

se o

f Σfx

with

x th

e m

id-in

terv

al v

alue

A

1 fo

r 5.8

8

(3)

72 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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nsw

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Add

ition

al g

uida

nce

Mar

k

13(a

)(i)

B1

(0.3

+0.4

=) 0

.7

For p

roba

bilit

y an

swer

s acc

ept e

quiv

alen

t fra

ctio

ns,

deci

mal

s or p

erce

ntag

es

(1)

13(a

)(ii)

B1

0.3

(1)

13(a

)(iii

)M

1

5.03.0

A1

0.6

(2

)

13(b

)M

1 0

.8

0.5

A

1 0

.4

(2

)

73Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

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nnu

mbe

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Add

ition

al g

uida

nce

Mar

k

14

Col

lect

ing

data

B

1 fo

r ide

ntify

ing

one

appr

opria

te th

ing

that

sh

ould

be

incl

uded

in th

e pl

an fo

r col

lect

ing

data

an

dB

1 fo

r exp

lain

ing

why

this

asp

ect i

s app

ropr

iate

O

R

B1B

1B1

for e

ach

of th

ree

plan

ned

elem

ents

and

B1B

1B1

for e

ach

of

thre

e ap

prop

riate

reas

ons f

rom

thei

r thr

ee th

ings

in th

e st

atis

tical

en

quiry

cyc

le. M

axim

um 4

mar

ks if

onl

y on

e as

pect

(fro

m C

olle

ctin

g da

ta, P

roce

ssin

g an

d pr

esen

ting,

Inte

rpre

ting

and

Eval

uatin

g) is

re

fere

nced

.

(6)

B1

for d

ecid

ing

wha

t dat

a to

col

lect

and

/or h

ow to

co

llect

and

reco

rd it

and

B

1 fo

r an

appr

opria

te re

ason

O

R

B1

for e

.g. u

se a

mou

nt o

f tim

e m

easu

red

to th

e ne

ares

t min

ute

and

B

1 fo

r e.g

. thi

s is s

uffic

ient

as t

here

will

be

a la

rge

rang

e of

tim

es

B1

for a

stra

tegy

to p

roce

ss d

ata

and

B1

for a

n ap

prop

riate

reas

on

OR

B1

for e

.g. c

olle

ct d

ata

for 2

3 bo

ys a

nd 2

3 gi

rls a

nd

B1

for e

.g. t

his w

ill m

ake

the

calc

ulat

ion

of q

uarti

les e

asie

r

B1

for d

esig

ning

a c

olle

ctio

n m

etho

d fo

r pr

imar

y/se

cond

ary

data

and

B

1 fo

r an

appr

opria

te re

ason

OR

B1

for e

.g. u

se ra

ndom

sam

plin

g an

d B

1 fo

r e.g

. thi

s red

uces

bia

s as G

ary’

s frie

nds/

clas

s/pe

ers m

ay

gene

rally

wat

ch th

e sa

me

prog

ram

s

B1

for a

ppre

ciat

ing

the

impo

rtanc

e of

ac

know

ledg

ing

sour

ces a

nd

B1

for a

n ap

prop

riate

reas

on

OR

B1

for e

.g. u

se p

rimar

y da

ta a

nd

B1

for e

.g. t

his i

ncre

ases

relia

bilit

y as

Gar

y w

ill k

now

how

the

data

w

as c

olle

cted

B1

for r

ecog

nisi

ng w

here

issu

es o

f sen

sitiv

ity m

ay

influ

ence

dat

a av

aila

bilit

y an

d B

1 fo

r an

appr

opria

te re

ason

B1

for e

.g. A

stud

ent (

Gar

y) sh

ould

col

lect

the

data

and

B

1 fo

r e.g

. stu

dent

s are

mor

e lik

ely

to g

ive

an h

ones

t ans

wer

to a

fe

llow

stud

ent (

less

thre

aten

ing)

Proc

essi

ng a

nd p

rese

ntin

g B

1 fo

r pla

nnin

g to

org

anis

e an

d/or

pro

cess

dat

a an

d

B1

for a

n ap

prop

riate

reas

on

OR

B1

for e

.g. u

se a

gro

uped

freq

uenc

ies t

able

for t

he d

ata

and

B1

for e

.g. a

s thi

s will

ena

ble

a qu

ick

way

of e

stim

atin

g th

e m

ean

or

this

can

be

used

to d

raw

a h

isto

gram

74 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

Que

stio

nnu

mbe

rA

nsw

er

Add

ition

al g

uida

nce

Mar

k

14 cont

inue

dB

1 fo

r pla

nnin

g to

gen

erat

e di

agra

ms a

nd/o

r vi

sual

isat

ions

to re

pres

ent t

he d

ata

and

B1

for a

n ap

prop

riate

reas

on

OR

B1

for e

.g. u

se b

ox p

lots

and

B

1 fo

r e.g

. the

se w

ill e

nabl

e th

e co

mpa

rison

of b

oth

the

med

ians

and

th

e IQ

Rs (

i.e. t

he d

istri

butio

ns) o

f the

dat

a

B1

for p

lann

ing

to g

ener

ate

stat

istic

al m

easu

res t

o co

mpa

re d

ata

and

B1

for a

n ap

prop

riate

reas

on

B1

for e

.g. i

nter

pret

resu

lts fo

r eac

h in

divi

dual

scho

ol y

ear a

nd

B1

for e

.g. a

s diff

eren

t yea

rs c

ould

hav

e di

ffer

ent w

atch

ing

habi

ts

Inte

rpre

ting

B1

for p

lann

ing

to in

terp

ret d

iagr

ams a

nd/o

r ca

lcul

atio

ns/m

easu

res a

nd

B1

for a

n ap

prop

riate

reas

on

OR

B1

for e

.g. b

y co

mpa

ring

mea

ns a

nd

B1

for e

.g. y

ou c

an se

e w

heth

er th

e am

ount

of t

ime

that

boy

s spe

nd

wat

chin

g TV

is g

reat

er, i

n ge

nera

l, th

an th

e am

ount

of t

ime

that

girl

s sp

end

wat

chin

g TV

B1

for p

lann

ing

to m

ake

an in

fere

nce

and/

or

pred

ictio

n an

d

B1

for a

n ap

prop

riate

reas

on

B1

for e

.g. u

se th

e re

sults

from

the

scho

ol to

pre

dict

the

resu

lts

natio

nally

and

B1

for e

.g. a

s stu

dent

s in

diff

eren

t par

ts o

f the

cou

ntry

are

like

ly to

ha

ve th

e sa

me

wat

chin

g ha

bits

E

valu

atin

gB

1 fo

r pla

nnin

g to

iden

tify

wea

knes

ses i

n ap

proa

ch

or re

pres

enta

tion

and

B1

for a

n ap

prop

riate

reas

on

OR

B1

for e

.g. c

hoos

e no

t to

disp

lay

the

info

rmat

ion

in h

isto

gram

s and

B

1 fo

r e.g

. as “

the

targ

et a

udie

nce”

may

not

kno

w h

ow to

inte

rpre

t th

em

B1

for p

lann

ing

to re

fine

the

proc

esse

s to

elic

it fu

rther

cla

rific

atio

n of

the

hypo

thes

is a

nd

B1

for a

n ap

prop

riate

reas

on

B1

for e

.g. c

onsi

der u

sing

mor

e th

an o

ne ty

pe o

f vis

ual

repr

esen

tatio

n (f

or th

e sa

me

info

rmat

ion)

and

B

1 fo

r e.g

. as d

iffer

ent r

epre

sent

atio

ns fo

cus o

n di

ffer

ent a

spec

ts o

f th

e da

ta

75Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

Que

stio

nnu

mbe

rA

nsw

er

Add

ition

al g

uida

nce

Mar

k

15B

1 fo

r one

cor

rect

com

men

t for

eac

h w

ay

e.g.

W

ay 1

: Sho

ws e

xact

val

ues.

Way

2: S

how

s val

ues/

diff

eren

ces c

lear

ly o

r has

vis

ual

impa

ct.

Way

3: S

how

s pro

porti

ons c

lear

ly o

r has

vis

ual i

mpa

ct.

B1

for e

ach

corr

ect c

omm

ent a

sses

sing

the

appr

opria

tene

ss o

f the

way

s of r

epre

sent

ing

the

resu

lts

A m

ark

for ‘

visu

al im

pact

’ can

onl

y be

aw

arde

d on

ce,

eith

er a

s the

alte

rnat

ive

for W

ay 2

or a

s the

alte

rnat

ive

for W

ay 3

.

(3)

Centre Number Candidate Number

Write your name hereSurname Other names

Total Marks

Paper Reference

StatisticsPaper 1

Higher TierSample assessment material for first teaching September 2017

Time: 1 hour 30 minutes 1ST0/1HYou must have:Ruler graduated in centimetres and millimetres, protractor, pen, HB pencil, eraser, scientific calculator.

Pearson Edexcel Level 1/Level 2 GCSE (9–1)

*S54191A0124*S54191A©2018 Pearson Education Ltd.

1/1/1/1/

Turn over

Instructions

• Use black ink or ball-point pen.• Fill in the boxes at the top of this page with your name,

centre number and candidate number.• Answer all questions.• Answer the questions in the spaces provided

– there may be more space than you need.• Scientific calculators may be used. • You must show all your working out with your answer clearly identified

at the end of your solution.

Information

• The total mark for this paper is 80. • 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.

76 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017