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تاريخ التسجيل : 23/01/2012

مُساهمةموضوع: MU123 (Discovering Mathematics)   الأحد مارس 01, 2015 6:45 pm

MU123 (Discovering Mathematics)
Tutor Marked Assignment (TMA)-Second semester 2014/15

The TMA:
The following tables display some major demographic and economic indicators from the World Bank database: World Development Indicators for eight Arab states at which AOU is located for the years 2013 and 2012.
Table (1) Population, Labor force and GDP 2013
Selected Arab states
country Population, total Population ages 0-14 Population ages 15-64 Population ages 65 and above Total Labor force GDP (current US$)
Saudi Arabia
28828870 8360372 19603632 864866 11232277 748449600000
Jordan
6459000 2196060 4004580 258360 1772361 33678500148
Kuwait
3368572 842143 2459058 67371 1733184 175830502498
Bahrain
1332171 279756 1025772 26643 738890 32890110533
Sudan
37964306 15565366 21260011 1138929 11946115 66565889417
Egypt
82056378 25437477 51695518 4923383 27742106 271972822883
Lebanon
4467390 938152 3171847 357391 1683711 44352418120
Oman
3632444 835462 2688009 108973 1809462 79655917417
Source: The World Bank; http://databank.worldbank.org/data/views/reports/tableview.aspx#
• Refer to the same source for more information regarding the definitions of variables.
• Population and labour force are in number of people.
• GDP: Gross Domestic Product in current US$.
• The table is only display the indicators of Arab states where the AOU is located.



Table (2) Population, Labor force and GDP 2012
Selected Arab states
country Population, total Population ages 0-14 Population ages 15-64 Population ages 65 and above Total Labor force GDP (current US$)
Saudi Arabia
28287855 8486357 18952862 848636 10382733 733955733333
Jordan
6318000 2148120 3917160 252720 1718877 31015239545
Kuwait
3250496 812624 2372862 65010 1662316 174044699037
Bahrain
1317827 263565 1027905 26357 741723 30756789966
Sudan
37195349 15250094 20829395 1115860 11645635 63152209705
Egypt
80721874 25023781 50854781 4843312 27193916 262831912587
Lebanon
4424888 973475 3097422 353991 1636637 43205095854
Oman
3314001 795360 2419221 99420 1595244 77497269805
Source: The World Bank; http://databank.worldbank.org/data/views/reports/tableview.aspx#
Based on the above tables, answer the following 9 questions showing your full work, formulas and calculations:
Q-1: Find the GDP per capita for each country in 2012 and 2013 and comment on your results (40-50 words)? Round your answers to the nearest dollar.(10 points)
Note: GDP per capita is gross domestic product in current US$ divided by total population. It shows the share of each individual from the total GDP. This is an important economic indicator which reflects the level of economic welfare.

Q-2: Based on your final answer in Q-1; calculate the mean, median, range, interquartile range of the GDP per capita in 2013? . (10 points)
Note: Show your full work and the formulas. Round your final answers to 2 .d.p

Q-3: Based on your final answer in Q-1; calculate the standard deviation of the GDP per capita in 2013? Comment on your answer based on your understanding for the concept of standard deviation? (40-50 words) (10 points)
Note: Show all steps and round numbers to 2 .d.p. at each step.

Q-4: In a separate table; Find the percentage of each population group (population aged 0-14; 15-64 and 65 and above) from the total population of each country in 2012? Comment on your results regarding the cross-country differences in age distribution? (40-50 words). (10 points)
Note: Round your final answers (to 2 d.p.) as ex. 0.23499 = 0.23 or 23%

Q-5: consist of three parts:
Q-5-A: In a separate table; Round all age groups and the total population in 2012 to three significant figures for each country. (5 points)
Q-5-B: In a separate table; Round the GDP in current US$ in 2012 to the nearest billion for each country. (2 points)
Q-5-c: In a separate table; Round the total labour force in 2012 and 2013 to the nearest thousand for each country. (3 points)

Q-6: consists of two parts:
Q-6-A: In a separate table find the yearly growth rate of total population between 2012 and 2013 for all eight countries? Comment on your answers (40-50 words)?
(5 points). Round your final answers to 2 s.f
Q-6-B: In a separate table find the yearly growth rate of GDP current US$ between 2012 and 2013 for all eight countries? Comment on your answers (40-50 words)?
(5 points). Round your final answers to 2 s.f.
Note: which countries had the highest population growth rates and which of them had the highest GDP growth rates (economic growth rates).

Q-7: consists of two parts:
Q-7-A: in a separate table calculate the approximate ratio (1: whole number) of population group (aged 0-14) to the total population in 2012 for all eight countries? Comment on your results; which countries have the highest child ratio. (40-50 words).
( 5 points). Show your full work and round your final answers to 1 s.f.
Q-7-B: in a separate table calculate the approximate total dependency ratio (number: number) for each country in 2013? Comment on your answer? (40-50 words).
(5 points) Show your full work and round your answer to 1 d.p.

(Example: 13: 28 which equal to 1:2.1538 approximately 1: 2.2 then 10:22 final answer 5:11)
Note: total dependency ratio is a measure showing the number of dependents (aged 0-14 and over the age of 65) to the population group (aged 15-64). This indicator gives insight into the amount of people of non-working age compared to the number of those of working age.
Q-8: Use Microsoft Excel in presenting the GDP per capita in 2013 (use answer Q-1) in bar chart for all eight countries. (10 points)
Note: your chart should be well titled; refer to unit eleven in Book D

Q-9: Use Microsoft Excel in presenting the total population for the eight Arab states in one pie chart? (10 points)
Note: your chart should be well titled; refer to unit eleven in Book D

A total of 90 out of 100 points are allocated to the above 9 questions. The remaining 10 points will be distributed to:
- Presentation and PT3 form (5 marks)
- Word count (5 marks).


Cut-off date: April 27th, 2015.

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