A Resource for Free-standing Mathematics Qualifications
Mineral water
FREE STANDING MATHS QUALIFICATION
Making Sense of Data Foundation level
Interpreting another person's raw data and charts
The following data has been taken from the labels of various bottled waters showing the mineral
content in milligrams per litre.
Task A
The charts on the following pages have been draw using this data. For each chart:
 give a summary of what the chart tells you
 say whether you think the chart is a good way of displaying the information or not, giving a
reason for your answer.
Task B
Use the table of data to investigate at least one other aspect of the mineral content of the bottled
water. As part of this investigation you could use statistical measures such as the mean and range
and/or statistical diagrams.
Mineral content of bottled water in mg per litre
15.7
22.7
22
42
15
40
1
80
28
7.5
8.4
60.4
13.5
54
22
51
51
0.02
10
2
7.5
3
0.6 <0.01
5.7 <0.01
4.7
3.4
1
1.5
5
5
43
248
293
1300
243
173
400
136
65.3
287
62
319
319
Aluminium
0.1
Fluoride
0.01
Nitrate
Chloride
2
1.4
1.5
1
Sulphate
Bicarbonate
18.5
13
16.5
24
8 <1
150
6
45
15
6
9.4
42.5
7.1
68
16.5
34
34
Iron
9.2
5.1
4
19
1.4
85
22
36
16
8.5
6.1
20.4
7.1
33
4
23
23
Potassium
13.6
14
22
55
104
190
38
54
114
35
9.9
59.7
18
36
22
64
64
Sodium
Magnesium
 Margaret Pickersgill
Bradford College
Calcium
Minton
Ashbrook
Cumbrian
Buxton
Chiltern Hills
Badoit
Naya
Abbey Wells
Ballygowan
Highland Spring
Volvic
Ada Spring
Scottish Tesco
Irish Tesco
Coldwell Spring
Pennine Spring
Tesco Value
26
24.5
13
15
31
0.1
23 <0.1
0
12
5
0.1
40
1
17 <0.05
28
0.9 0.09
15
9
6 <1
<0.1 <0.01
6.9
6.3
<0.01
20.7
1.6
6.3
0.8 0.07
75
0.5
15
7 0.013
27
2.2 0.18
27
2.2 0.18
Photo-copiable
A Resource for Free-standing Mathematics Qualifications
Mineral water
FREE STANDING MATHS QUALIFICATION
Making Sense of Data Foundation level
Chart 1
Mineral Content of Bottled Water
350
mg per litre
300
250
Buxton
200
Chiltern Hills
Abbey Wells
150
100
50
in
iu
m
al
um
flo
ur
id
e
at
e
ni
tr
su
lp
ha
te
ch
lo
rid
e
n
ar
bo
na
te
iro
bi
c
m
po
ta
ss
iu
m
so
di
u
iu
m
m
ag
ne
s
ca
lc
iu
m
0
Minerals
Chart 2
Mineral content of Abbey Wells and Ballygowan bottled Water
450
400
Abbey Wells
350
Ballygowan
mg per litre
300
250
200
150
100
50
m
e
al
u
m
in
iu
ur
id
flo
ni
tra
te
e
ha
te
su
lp
rid
ch
lo
ar
bo
na
te
iro
n
bi
c
m
m
so
di
u
po
ta
ss
iu
m
ca
lc
iu
ag
ne
si
u
m
m
0
Minerals
 Margaret Pickersgill
Bradford College
Photo-copiable
A Resource for Free-standing Mathematics Qualifications
Mineral water
FREE STANDING MATHS QUALIFICATION
Making Sense of Data Foundation level
Chart 3
Mineral content of Ashbrook Bottled Water
flouride
0%
aluminium
0%
nitrate
14%
calcium
15%
sulphate
27%
magnesium
5%
sodium
14%
chloride
24%
potassium
1%
iron
0%
bicarbonate
0%
This work may be used in your Coursework Portfolio to contribute to requirements 2 and 5:
What you need to produce:
2
Two different types of statistical diagrams and two
different statistical measures that illustrate data from
up to two different situations.
The data you use can be the result of your work
towards 1 above, or can be taken from another source
such as a newspaper article, book or the internet.
You must:
At least one of your diagrams should be drawn and
one of your measures should be calculated using a
spreadsheet.
5
A brief report in which you have interpreted both raw
data and at least two statistical diagrams produced by
someone else.
 Margaret Pickersgill
Bradford College
•
use only diagrams that are relevant
•
present diagrams that are clear, accurate
and fully labelled
•
show the calculations you carry out
•
include calculations you have carried out
by hand
•
draw relevant and appropriate conclusions
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