Usually we'll have to create a horizontal line. Hello there first question we see they give us a table that displays a total number of gold medals won by a sample of countries in the 2012 Summer Olympics in London Okay so the first part they want us to the first part that they want us to do is to make a dot plot to display These data's and describe the overall pattern of the distribution in any Departures from the pattern. **Final Answer: The sample of countries listed in the table is not representative of the larger population of countries that participated in the 2012 Summer Olympics because it overrepresents the countries that won at least one gold medal.** Therefore, we can conclude that the sample of countries listed in the table is not representative of the larger population of countries that participated in the 2012 Summer Olympics. In the population, 54 out of 205 countries won at least one gold medal, which is approximately 26.34%.Ĭomparing these two proportions, we can see that the sample overrepresents the countries that won at least one gold medal. In the sample, 19 out of 30 countries won at least one gold medal, which is approximately 63.33%. We can calculate the proportion of countries that won at least one gold medal in the sample and in the population. We know that 205 countries participated in the Olympics and 54 of them won at least one gold medal. Next, we need to determine if the sample of countries listed in the table is representative of the larger population of countries that participated in the 2012 Summer Olympics. The distribution is right-skewed with a few outliers at 29, 38, and 46 gold medals. Here's how many medals each country has: United States: 113 medals (39 gold, 41 silver, 33 bronze) China: 88 medals (38 gold, 32 silver, 18 bronze) ROC: 71 medals (20 gold, 28 silver, 23 bronze. We can see that most of the countries won 0 to 2 gold medals, with a few countries winning more than that. The dot plot will have the number of gold medals on the x-axis and the frequency on the y-axis. Do you believe that the sample of countries listed in the table is representative of this larger population? Why or why not?įirst, we need to create a dot plot to display the data. (b) Overall, 205 countries participated in the 2012 Summer Olympics, of which 54 won at least one gold medal. Describe the overall pattern of the distribution and any departures from that pattern. (a) Make a dotplot to display these data. The following table displays the total number of gold medals won by a sample of countries in the 2012 Summer Olympic Games in London.
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