Lab Assignment 1

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University of Alberta *

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161

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Statistics

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Apr 3, 2024

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pdf

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COURSE: STAT 161 SECTION: R2 LAB #: 1 GROUP #: 45 GROUP LEADER: Aniket Jain GROUP MEMBER(S): Aniket Jain Cynthia Nguyen ______________________________ PLEASE FILL OUT THIS SECTION ONLY IF YOUR GROUP MEMBER(S) MISSED ANY OF THE DEADLINES: MEMBER(S) EXCLUDED FROM THIS LAB WHICH DEADLINE IS MISSED Kim Fundanera January 27 ______________________________ ______________________________ ______________________________ ______________________________ SUMMARY OF ISSUES (FURTHER EXPLANATION OF WHY THE ABOVE GROUP MEMBER(S) IS(ARE) EXCLUDED FROM THIS LAB REPORT): This member failed to contact our group and did not do any of the assignments.
Question 1: a) Count of INCOME Column Labels Row Labels Low Middle High Grand Total Africa 38 10 2 50 Asia 20 14 14 48 Europe 3 8 29 40 North America 5 10 9 24 Oceania 6 2 2 10 South America 1 8 5 14 Grand Total 73 52 61 186 The Gross National Income per capita (GNI) is high among 61 countries in the world while 73 countries are in the Low bracket. 52 countries reside in middle. Low-income Africa: (38/50) 100=76.00% Asia: (20/48)100=41.67% Europe: (3/40)100=7.50% North America: (5/24)100=20.83% Oceania: (6/10)100=60.00% South America: (1/14)100=7.14% From this data we can see that Africa has the highest percentage of low-income countries. Whereas, Europe and South America have the lowest percentage of low-income countries. High-income Africa: (2/50) 100=4.00% Asia: (14/48)100=29.17% Europe: (29/40)100=72.50% North America: (9/24)100=37.50% Oceania: (2/10)100=20.00% South America: (5/14)100=35.71% From this data we can see that Europe has the highest percentage of high-income countries. Africa, on the other hand, has the lowest percentage of high-income countries.
b) Answer the following questions based on your contingency table: I. What percentage of all countries are classified as low-income countries (have GNI values less than $4125)? 39.2473118% (73/186*100) ii. What percentage of all countries have GNI values of at least $4126? 60.7526882% (1-73/186*100) iii. What percentage of all countries are from North America and have GNI values above $12,735 (high GNI)? 4.8387097% (9/186*100) iv. What percentage of North American countries have GNI values above $12,735? 37.5% (9/24*100) v. What percentage of countries with GNI above $12,735 are from North America? 14.7540984 (9/61*100) c) The height of the bars represents income frequency of countries in each continent. Different bars depict level of Income i.e., Low, Medium, and High. 0 5 10 15 20 25 30 35 40 Africa Asia Europe North America Oceania South America Income Continents Frequency Bar chart of INCOME by CONTINENTS Low Middle High
Question 2: a) Bins Frequency 0 0 12735 125 25470 27 38205 7 50940 13 63675 7 76410 2 89145 3 101880 1 114615 1 More 0 b) Histogram is not symmetric. The histogram is skewed to the right (positively skewed). The histogram is unimodal There are no outliers 61 countries have GNI above $25,470 The suitable measures of center and spread for the distribution are median and IQR. 0 20 40 60 80 100 120 140 0 12735 25470 38205 50940 63675 76410 89145 101880 114615 More Frequency GNI Histogram
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