Graphical Techniques for Representing Australian Exports and Frequency Distributions

STATISTICS FOR BUSINESS
STUDENT ID:
[Pick the date]

Question 1
(a) Graphical technique to represent the value of Australian exports
China Japan United
States Republic
of Korea India New
Zealand Singapore United
Kingdom
0
10
20
30
40
50
60
70
80
90
100
Column Chart: AustralianExports
2004-05
2014-15
Country
Australian Exports (A$bn)
(b) Graphical technique to represent the percentage of Australian exports
15%
27%
13%
11%
7%
12%
6%
9%
Percentage of AustralianExports (A$bn) For
2004-05
China
Japan
United States
Republic of Korea
India
New Zealand
Singapore
United Kingdom
2

40%
21%
9%
9%
6%
6%
5% 4%
Percentage of Australian Exports (A$bn) For
2014-15
China
Japan
United States
Republic of Korea
India
New Zealand
Singapore
United Kingdom
c) The key observation from part (a) and (b) is that Australian exports to China have jumped
more than four times during the ten year period from 2004-2005 to 2014-2015. The net result
is that the share of China in Australian exports has grown from 15% in 2004-2005 to 40% in
2014-2015. Increase in exports has also been witnessed for other major export destinations
barring New Zealand and United Kingdom. With regards to New Zealand, the exports from
Australia have remained constant during the ten year period resulting in fall of share from
12% in 2004-2005 to 2014-2015. Only one of the export destinations listed has seen a decline
in trade which is United Kingdom whose share in Australian exports has plummeted from 9%
to 4% during the given period.
Question 2
(a) Frequency and relative frequency distribution
3

(b) Cumulative frequency and relative frequency distribution
(c) Relative frequency histogram
30-40 40-50 50-60 60-70 70-80 80-90 90-100
0.00
0.05
0.10
0.15
0.20
0.25
0.30
Relative Frequency Histogram: Umbrella Sales
Umbrella Sales
Relative Frequency
(d) Ogive
4