Olympic gold! The following table displays the total number of gold medals won by a sample of countries in the 2012 Summer Olympic Games in London.

Country Gold medals Country Gold medals Sri Lanka 0 Thailand 0 China 38 Kuwait 0 Vietnam 0 Bahamas 1 Great Britain 29 Kenya 2 Norway 2 Trinidad and Tobago 1 Romania 2 Greece 0 Switzerland 2 Mozambique 0 Armenia 0 Kazakhstan 7 Netherlands 6 Denmark 2 India 0 Latvia 1 Georgia 1 Czech Republic 4 Kyrgyzstan 0 Hungary 8 Costa Rica 0 Sweden 1 Brazil 3 Uruguay 0 Uzbekistan 1 United States 46

(a) Make a dotplot to display these data. Describe the overall pattern of the distribution and any departures from that pattern.

(b) Overall, 205 countries participated in the 2012 Summer Olympics, of which 54 won at least one gold medal. Do you believe that the sample of countries listed in the table is representative of this larger population?

Why or why not?