7. Using the statistics provided for the average annual income per person for 100 countries from aroung the world in 2022. (10 marks)

a) Determine the mean and sample standard deviation for the data set.

b) Hungary has an average annual income of $8613, what percentile does this place Hungary in?

c) make a relative histogram and frequence polygon for the data using

d) Hungary's average income is the 68th highest of the 100 countries listed. What percentile does this actually place them in?

e) Give reasons why the answers in parts b) and d) don't match

83 Taiwan 16355 Japan 17095 85 Belgium 17917 86 Ireland 17938 87 United Kingdom 18133 88 Finland 18742 89 Iceland 19300 90 France 19409 Netherlands 19690 92 Germany 19730 93 Sweden 20193 94 Denmark 20304 95 Austria 20718 96 Australia 21329 97 Canada 22042 98 Norway 25272 99 United States 25332 100 Switzerland 25787 101 Luxembourg 31376