12
Paper 1 Foundation tier mark scheme Question number Answer Additional guidance Mark 1(a) B1 Maths (1) 1(b) M1 10 – 4 or 3×2 A1 6 (2) 1(c) B1 4 + 10 + 2 + 6 [= 22] or 8ב2’ or ‘11’×2 B1 22 > 20 so yes, Milly has spent a total of more than 20 hours studying. B1 for calculating statistic B1 for conclusion in context based on correct statistical reasoning (2) 2(a) B1 0 1 1 2 B1 for × indicated between 0 and ½ (but closer to ½). (1) 2(b) B1 0 1 1 2 B1 for × indicated at 0 (1) 2(c) B1 0 1 1 2 B1 for × indicated between ½ and 1 (but closer to 1). (1) × × × 29 Pearson Edexcel Level 1/Level 2 GCSE (9-1) in Statistics – Sample Assessment Materials Issue 2 – December 2017 © Pearson Education Limited 2017

1 2 S 91 S S A *S54190A02424* 29

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24

*S54190A02424*

D

O N

OT W

RITE IN TH

IS AREA

D

O N

OT W

RITE IN TH

IS AREA

D

O N

OT W

RITE IN TH

IS AREA

BLANK PAGE

Pap

er 1

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 M

aths

(1)

1(b)

M1

1

0 –

4 or

3×2

A1

6

(2

)

1(c)

B1

4

+ 1

0 +

2 +

6 [=

22]

or 8

ב2’

or ‘

11’×

2 B

1

22

> 20

so y

es, M

illy

has s

pent

a to

tal o

f mor

e th

an 2

0 ho

urs s

tudy

ing.

B1

for c

alcu

latin

g st

atis

tic

B1

for c

oncl

usio

n in

con

text

bas

ed o

n co

rrec

t sta

tistic

al re

ason

ing

(2)

2(a)

B1 0

11 2

B1

for ×

indi

cate

d be

twee

n 0

and

½

(but

clo

ser t

o ½

). (1

)

2(b)

B1 0

11 2

B1

for ×

indi

cate

d at

0

(1)

2(c)

B1 0

11 2

B1

for ×

indi

cate

d be

twee

n ½

and

1

(but

clo

ser t

o 1)

. (1

)

×

×

×

29Pearson 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

3(a)

B1B

1

Num

ber

of ti

mes

T

ally

Fr

eque

ncy

1 ||||

|||| ||

|| 14

2 ||||

|| 7

3 ||||

4

4 |||

3

5 ||

2

1st B

1 an

y on

e ro

w o

r one

col

umn

corr

ect

2nd B

1 al

l cor

rect

(2)

3(b)

B1f

t

1 (1

)

3(c)

M1

‘1

4’ +

‘7’ +

‘4’

A1f

t

25

M1

for t

he a

dditi

on o

f cor

rect

3

num

bers

from

thei

r tal

ly c

hart

A1

ft th

eir t

ally

cha

rt

(2)

3(d)

B1

e.

g. b

ar c

hart

B1

for a

ny su

itabl

e di

agra

m, e

.g.

pie

char

t, ba

r lin

e ch

art

(1)

30 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

4(a)

B1

e

.g. S

ome

empl

oyee

s may

not

wis

h to

giv

e th

eir s

alar

y (c

onfid

entia

l/per

sona

l).

(1)

4(b)

B1

A

ll of

the

empl

oyee

s at t

he c

ompa

ny.

(1

)

4(c)

(i)

4(c)

(ii)

B1

e.

g. p

rimar

y da

ta is

dat

a yo

u co

llect

you

rsel

f.B

1

e.g.

seco

ndar

y da

ta is

dat

a co

llect

ed b

y so

meo

ne e

lse.

B1

e.

g. k

now

n re

liabi

lity,

no

seco

ndar

y da

ta a

vaila

ble

(2)

(1)

4(d)

B1

Adv

anta

ge:

e.

g. C

onve

nien

t

e.g.

Equ

al n

umbe

r of m

ales

and

fem

ales

repr

esen

ted

B1

Dis

adva

ntag

e:

e.

g. N

ot re

pres

enta

tive

e.

g. B

iase

d

e.g.

Em

ploy

ees c

omin

g ea

rly m

ay h

ave

sim

ilar p

ay

1st B

1 an

y on

e co

rrec

t adv

anta

ge

2nd B

1 an

y on

e co

rrec

t dis

adva

ntag

e

(2)

31Pearson 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

5(a)

B1

41oe

For p

roba

bilit

y an

swer

s acc

ept

equi

vale

nt fr

actio

ns, d

ecim

als o

r pe

rcen

tage

s

(1)

5(b)

M1

6041

A1

1

5

(2)

5(c)

M1

4529

9

o

r'

457 '1

A1

4538oe

For p

roba

bilit

y an

swer

s acc

ept

equi

vale

nt fr

actio

ns, d

ecim

als o

r pe

rcen

tage

s

(2)

5(d)

B2

e.g

. ‘re

liabl

e si

nce

the

conc

lusi

on is

bas

ed o

n a

larg

e nu

mbe

r of s

pins

’ or

e.g

. 3 is

scor

ed m

any

mor

e tim

es th

an 1

or 2

B

2 fo

r ‘re

liabl

e’ w

ith su

ppor

ting

reas

on b

ased

on

colle

cted

dat

a

OR

B1

relia

ble

with

inco

mpl

ete

reas

onin

g

(2)

32 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

6(a)

B2

for m

edia

n A

ND

a c

orre

ct re

ason

, e.g

.

refe

renc

e to

the

extre

me

valu

e in

the

fem

ale

cat w

eigh

ts

re

fere

nce

to th

e m

edia

n no

t bei

ng a

ffec

ted

by e

xtre

me

valu

es

OR

if B

2 no

t ear

ned.

.. B

1 fo

r an

inco

mpl

ete

answ

er

e.g.

med

ian

with

an

atte

mpt

at a

reas

on,

OR

cor

rect

reas

on w

ithou

t a c

oncl

usio

n

OR

if B

1 no

t ear

ned.

.. SC

B1

for m

ean

AN

D u

ses a

ll of

the

data

B2

for a

com

plet

e an

swer

ass

essi

ng th

e ap

prop

riate

ness

of t

he c

hoic

e of

ave

rage

.

OR

if B

2 no

t ear

ned.

.. B

1 fo

r an

inco

mpl

ete

answ

er a

sses

sing

th

e ap

prop

riate

ness

of t

he c

hoic

e of

av

erag

e.

(2)

6(b)

B2

Not

suita

ble

as th

e da

ta is

not

biv

aria

te/in

rela

ted

pairs

oe

OR

if B

2 no

t ear

ned.

.. B

1 N

ot su

itabl

e, w

ith a

ttem

pt a

t a re

ason

B2

for a

com

plet

e an

swer

ass

essi

ng th

e ap

prop

riate

ness

of t

he c

hoic

e of

dia

gram

OR

if B

2 no

t ear

ned.

.. B

1 fo

r an

inco

mpl

ete

answ

er a

sses

sing

th

e ap

prop

riate

ness

of t

he c

hoic

e of

di

agra

m

(2)

33Pearson 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

7(a)

B1

B

ar h

eigh

ts o

f 9 a

nd 7

dra

wn

for a

ctio

nB

1

Cor

rect

shad

ing

(2)

7(b)

B1

D

ram

a an

d Th

rille

r (1

)

7(c)

B1

4

1 (1

)

7(d)

B1B

1 A

ny tw

o fr

om:

M

ore

dram

a fil

ms i

n 20

14

M

ore

com

edy

film

s in

2014

Sam

e nu

mbe

r of d

ocum

enta

ry fi

lms i

n bo

th y

ears

Few

er th

rille

r film

s in

2014

Few

er a

ctio

n fil

ms i

n 20

14

M

ore

tota

l film

s in

2014

B1

for e

ach

stat

istic

al c

oncl

usio

n.

Allo

w e

quiv

alen

t con

vers

e st

atem

ents

.

(2)

7(e)

B1

for e

.g. ‘

Ther

e ar

e on

ly tw

o ye

ars w

orth

of d

ata’

/‘A ti

me

serie

s gra

ph is

bet

ter

for d

ata

over

a lo

nger

per

iod

of ti

me’

. B

1 fo

r app

ropr

iate

reas

on w

hy a

tim

e se

ries g

raph

wou

ld n

ot b

e su

itabl

e fo

r thi

s dat

a.

(1)

8(a)

B1

D

iese

l (1

)

8(b)

B1

P

etro

l (1

)

8(c)

B1

N

atur

al g

as is

talle

st b

ar o

n ba

r cha

rt an

d la

rges

t sec

tor o

n pi

e ch

art.

(1)

8(d)

B1

T

he d

iagr

ams c

anno

t be

used

to su

ppor

t the

stat

emen

t. B

1

The

pie

cha

rt sh

ows p

ropo

rtion

s (no

t am

ount

s) o

e (2

)

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

Que

stio

n nu

mbe

rA

nsw

er

Add

ition

al G

uida

nce

Mar

k

9B

1 B

1 B

1 B

1 fo

r eac

h of

four

asp

ects

from

:

U

nder

stan

ding

e.g

. Que

stio

ns/re

spon

ses c

an b

e ex

plai

ned

in a

n in

terv

iew

or

may

not

be

unde

rsto

od in

a q

uest

ionn

aire

C

ando

ur e

.g. E

mpl

oyee

may

be

less

ope

n/ho

nest

in a

n in

terv

iew

or

ques

tionn

aire

can

be

done

with

out p

ress

ure

R

esou

rces

e.g

. Int

ervi

ewin

g ca

n be

tim

e co

nsum

ing/

expe

nsiv

e or

qu

estio

nnai

re c

an b

e do

ne b

y al

l at t

he sa

me

time

(or i

n th

eir o

wn

time,

or

mor

e ch

eapl

y)

In

clus

ivity

e.g

. int

ervi

ews m

ore

likel

y to

incl

ude

all e

mpl

oyee

s or

ques

tionn

aire

s mig

ht n

ot b

e re

turn

ed o

r dire

ctor

s’ v

iew

s are

not

incl

uded

by

inte

rvie

w

In

terv

iew

er b

ias e

.g. P

ossi

ble

bias

from

dire

ctor

(in

inte

rvie

w)/

no

inte

rvie

wer

bia

s with

que

stio

nnai

re

B1

for e

ach

corr

ect c

omm

ent a

sses

sing

th

e ap

prop

riate

ness

of t

he d

ata

colle

ctio

n m

etho

ds.

(4)

35Pearson 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

10M

1A1A

1 fo

r cal

cula

tion

of ra

nge

or IQ

R O

R fo

r a p

air o

f bo

x pl

ots d

raw

n

Ran

geM

1 74

– 4

0 o

r 70

– 4

3

A1

34

A

1 2

7

OR

IQ

RM

1 65

– 5

3 o

r 6

3 –

53

A1

12

A

1 10

M1

for a

cal

cula

tion

of ra

nge

or IQ

R O

R fo

r a p

air o

f box

pl

ots d

raw

n A

1 fo

r one

cor

rect

val

ue O

R fo

r one

cor

rect

box

plo

t A

1 fo

r sec

ond

corr

ect v

alue

to a

llow

a c

ompa

rison

to b

e m

ade

OR

for s

econ

d co

rrec

t box

plo

t (sa

me

scal

e) to

allo

w

com

paris

ons t

o be

mad

e

(5)

B1

for e

.g. T

he ra

nge/

IQR

for F

renc

h pr

esid

ents

is g

reat

er

than

the

rang

e/IQ

R fo

r UK

prim

e m

inis

ters

oe

B1

for a

cor

rect

com

paris

on o

f ran

ges o

r IQ

Rs

B1

for e

.g. T

he a

ges o

f Fre

nch

pres

iden

ts a

re m

ore

varie

d th

an th

e ag

es o

f UK

prim

e m

inis

ters

B

1 fo

r a c

orre

ct c

onte

xtua

l int

erpr

etat

ion

of c

ompa

rison

of

spre

ad

36 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

11(a

) B

1B1

for t

wo

corr

ect r

easo

ns

e.

g. d

ata

give

n in

diff

eren

t for

mat

s

e.g.

rem

ove

extra

neou

s sym

bols

e.g.

rem

ove

anom

alie

s/ou

tlier

s

e.g.

dat

a gi

ven

in w

rong

ord

er

B1

for e

ach

corr

ect r

easo

n fo

r the

ne

ed to

cle

an d

ata

on th

e da

taba

se

prio

r to

proc

essi

ng it

(2)

11(b

) B

1B1

for t

wo

corr

ect a

spec

ts

e.

g. la

rge

sam

ple

size

incr

ease

s rel

iabi

lity

e.

g. is

sues

due

to h

ow th

e da

ta c

olle

ctio

n is

car

ried

out m

ay d

ecre

ase

relia

bilit

y (r

ecor

ded

by st

uden

ts a

nd n

ot b

y K

erry

/stu

dent

s may

type

in

info

rmat

ion

wro

ng)

e.

g. fo

r an

exam

ple

of fa

ctor

s tha

t mig

ht n

ot b

e co

nsis

tent

in th

e da

ta

colle

ctio

n w

hich

may

dec

reas

e re

liabi

lity

(last

mes

sage

mig

ht n

ot re

pres

ent a

ll te

xt m

essa

ges s

ent)

e.

g. n

on-r

espo

nse

decr

ease

s rel

iabi

lity

B1

for e

ach

corr

ect c

ompa

rison

as

sess

ing

the

relia

bilit

y of

the

conc

lusi

ons d

raw

n

(2)

37Pearson 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

12(a

)B

1 3

bed

room

s has

the

high

est f

requ

ency

(for

any

indi

vidu

al n

umbe

r of

bedr

oom

s)

Allo

w e

quiv

alen

t sta

tistic

al re

ason

ing

base

d on

the

tabl

e in

dica

ting

why

3 is

the

mod

e.

(1)

12(b

)M

160

1200

140

o.

e.

A1A

1 B

edro

oms

1 2

3 4

5+

Hou

ses i

n sa

mpl

e 7

15

21

12

5

Acc

ept a

cor

rect

equ

ival

ent c

alcu

latio

n sh

own

for a

ny o

ne c

lass

M

1 im

plie

d by

one

cor

rect

ans

wer

OR

an

indi

catio

n th

ey n

eed

1 in

20

1st A

1 fo

r any

one

val

ue c

orre

ct

2nd A

1 fo

r all

corr

ect

(3)

12(c

)B

1 U

se a

sam

plin

g fr

ame

for e

ach

stra

ta

B1

Sele

ct h

ouse

s ran

dom

ly o

r gen

erat

e ra

ndom

num

bers

B1

For a

n as

pect

of d

etai

l

Each

cat

egor

y/st

rata

to b

e co

nsid

ered

se

para

tely

Sam

ples

hav

e to

be

rand

om

e.g.

How

the

rand

om n

umbe

rs a

re

obta

ined

and

use

d

(3)

38 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

13(a

)(i)

M1

180

304

A1

= 2

4 A

ccep

t any

equ

ival

ent c

alcu

latio

n (2

)

13(b

)B

1 e.

g. ‘u

se th

e m

ean

of th

e sa

mpl

e of

an

estim

ate’

’ B

1 fo

r a c

orre

ct e

xpla

natio

n sh

owin

g un

ders

tand

ing

that

the

mea

n of

the

sam

ple

repr

esen

ts th

e m

ean

of th

e po

pula

tion

(1)

14M

1A1A

1 fo

r app

ropr

iate

cal

cula

tions

to c

ompa

re 1

996

with

200

6 or

19

96 w

ith 2

016

e.g.

C

ompa

ring

inde

x nu

mbe

rs

M

1 10

02023

o

r10

02054

A1

115

A

1 2

70

OR

C

ompa

ring

pri

ces

M1

100

129

20

or

100

172

20

A

1 2

5.8

A1

34.

4

M1

for a

cal

cula

tion

that

cou

ld b

e us

ed to

co

mpa

re 1

996

with

200

6 or

201

6 A

1 fo

r one

cor

rect

val

ue

A1

for s

econ

d co

rrec

t val

ue th

at a

llow

s a

com

paris

on to

be

mad

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39Pearson 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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Centre Number Candidate Number

Write your name hereSurname Other names

Total Marks

Paper Reference

S54192A©2018 Pearson Education Ltd.

1/1/1/*S54192A0124*

StatisticsPaper 2

Foundation Tier

1ST0/2FYou must have: Ruler graduated in centimetres and millimetres, protractor, pen, HB pencil, eraser, scientific calculator.

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.

Pearson EdexcelLevel 1/Level 2 GCSE (9 - 1)

Sample assessment material for first teaching September 2017

Time: 1 hour 30 minutes

Turn over

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