Sunday, April 8, 2018

Statistics Practice paper

I will attach this practice task to the google classroom for you to complete this Monday.This is here in case you have any issues using the attachment, copy and paste this information into another document.

Student instructions sheet

Introduction

This activity requires you to undertake a statistical investigation using a randomly selected sample from a list of countries of the world. First, you will pose two investigative questions. Then you will analyse the sample and form a conclusion for one of your questions.
This activity is to be completed independently.
You will be assessed on the quality of your discussion and reasoning and how well you link this to the context.
Task
Carry out a statistical investigation on the The World at a Glance sample using the statistical enquiry cycle (Problem, Plan, Data, Analysis, Conclusion).
Problem
Pose two investigative questions about countries that can be explored using The World at a Glance dataset. See Student Resource A for a description of the variables.
Your investigative questions must be comparison questions. A suitable comparison investigative question is one that reflects the population, has a clear variable to investigate, compares the values of a continuous variable across different categories, and can be answered with the data.
For each question, state the variable you are investigating and the groups you are comparing.
Now choose one of your two questions for investigation using the data found in Student Resource B.
Plan and data
Because the 60 countries in Student Resource B were selected using a random sampling technique, the sample can be considered representative of all the countries in the database.
Analysis
Draw at least two appropriate graphs that show different features of the data in relation to your investigative question.
Give appropriate summary statistics.
Describe features of the distributions comparatively (for example, shape, middle 50%, shift, overlap, spread, unusual or interesting features).
Conclusion
Write a conclusion summarising your findings. The conclusion needs to include an informal inference in response to your investigative question and to be supported with relevant evidence.



Student Resource A: The World at a Glance variables
The table below shows the values for the six variables included in the dataset in Student Resource B.
The variables in the dataset and explanations of how the variables were collected are:
Variable
Explanation
Country
Randomly selected countries
Climate
Tropical countries are hot and around the equator, temperate countries are colder and lie between the tropics and the poles (tropical, temperate)
Level of development
High means developed countries and low means developing countries
TV Sets
The number of households that have television (per 1000 people)
Literacy rate (%)
The percent of the population in that country that can read
Internet use (%)
The percent of the population in that country that use the internet
This data has been collated using the most recently available information, and can be assumed to describe countries during the year 2013.
Student Resource B: The World at a Glance dataset
See Student Resource A for a list of variables.


* = data unavailable






Country
Climate
Level of Development
TV sets
Literacy rate (%)
Internet Use (%)







1
Argentina
Tropical
High
223
98
56
2
Austria
Temperate
High
533
98
81
3
Bangladesh
Tropical
Low
6
58
6
4
Bolivia
Tropical
Low
115
91
43
5
Brazil
Tropical
High
219
90
50
6
Canada
Temperate
High
717
99
87
7
Chile
Temperate
High
212
99
61
8
China
Temperate
Low
325
95
42
9
Colombia
Tropical
High
116
94
49
10
Denmark
Temperate
High
590
99
93
11
Ecuador
Tropical
High
132
93
35
12
Egypt
Tropical
Low
121
74
44
13
Ethiopia
Tropical
Low
503
39
2
14
France
Temperate
High
598
99
83
15
Georgia
Temperate
High
526
100
46
16
Germany
Temperate
High
567
99
84
17
Ghana
Tropical
Low
93
72
17
18
Hong Kong
Tropical
High
284
94
73
19
India
Tropical
Low
65
74
13
20
Indonesia
Tropical
Low
69
90
15
21
Iran
Tropical
High
76
85
26
22
Iraq
Tropical
Low
76
78
7
23
Italy
Temperate
High
533
99
58
24
Jamaica
Tropical
High
182
88
47
25
Japan
Temperate
High
686
99
79
26
Kenya
Tropical
Low
25
87
32
27
Korea, North
Tropical
Low
56
99
*
28
Korea, South
Tropical
High
346
98
84
29
Kyrgyzstan
Temperate
Low
44
99
22
30
Lithuania
Temperate
High
475
100
68
31
Mali
Tropical
Low
4
28
2
32
Mexico
Tropical
High
273
93
38
33
Mauritania
Tropical
Low
26
58
5
34
Morocco
Tropical
Low
114
67
55
35
Myanmar (Burma)
Tropical
Low
592
93
1
36
Netherlands
Temperate
High
519
99
93
37
New Zealand
Temperate
High
509
99
90
38
Pakistan
Temperate
Low
24
57
10
39
Panama
Tropical
High
183
92
45
40
Peru
Tropical
High
124
93
38
41
Philippines
Tropical
Low
52
93
36
42
Poland
Temperate
High
338
100
65
43
Portugal
Temperate
High
328
95
64
44
Romania
Temperate
High
6
98
50
45
Russia
Temperate
High
411
100
53
46
Samoa
Tropical
Low
64
100
13
47
Singapore
Tropical
High
351
93
74
48
South Africa
Temperate
Low
127
93
41
49
Spain
Temperate
High
409
98
72
50
Sudan
Tropical
Low
77
71
21
51
Taiwan
Tropical
High
3
98
76
52
Tanzania
Tropical
Low
3
69
13
53
Thailand
Tropical
Low
255
93
27
54
Turkey
Temperate
High
326
95
45
55
Ukraine
Temperate
High
3
100
34
56
United Kingdom
Temperate
High
522
99
87
57
United States
Temperate
High
803
99
81
58
Venezuela
Tropical
High
179
93
44
59
Vietnam
Tropical
Low
47
94
40
60
Zambia
Tropical
Low
24
81
14

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