Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!



Numerade Educator



Problem 38 Hard Difficulty

Olympic gold! The following table displays the total number of gold medals won by a sample of countries in the 2008 Summer Olympic Games in China.
(a) Make a dotplot to display these data. Describe the overall pattern of the distribution and any deviations from that pattern.
(b) Overall, 204 countries participated in the 2008 Summer Olympics, of which 55 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?


A. Right-skewed
B. represent all


You must be signed in to discuss.

Video Transcript

So the instructions here are to make a dark plot and then to comment whether the sample of countries listed is representative off the larger population. So we're going to remember that there are 204 countries, whereas the data is given only four. Ah, phew! Off them. So let's, uh, making the dark plot. So for making the dark plot four thing I do is I count of how many zeros I have. So I'm just gonna go through the table and count all the zeros. So I have 123456789 10 11 12 13 years. So I'm just gonna put 13 dots on top of zero. So 123456789 10 11 12 30. Let's take other number 51. So is there any other 51? I see that there's only 1 51 in the whole less so I'm just gonna go and put one dot over 51. Is that another 19? So there's only 1 19 so I'm gonna go and put one dot on 19. Then there's a three. Is there another three? So there's one. There's another one here, too. So I'm gonna put two darts on top off three. Then I see there's a four. And is there another four in the list? There is no other foreign. The lesser There's only one dart on top of four. Then account that there's one to here. There's another one here. So that's 234 So we just found that there are four to, So we're gonna put four dots on top off too. So 12 34 and then we have seven. So is that another seven? There is no other seven. So we're just gonna put one dot on top off seven Right there. Three. So here's 123 So three dots go on top off three. So 12 and three, and then we have one. Did we have a doctor one earlier? I think we missed this. Well, we can put another one here. Then we have a five. So is there another fight? No, there's no other finds that. There's just one fight and we have another one here, so there can be one more one here and then last is 36. So we're gonna put one doctor on top of 36. So this is the doctor. Now when we look at the tart Clark, what we see about the shape is that it has a right skew. So why do we say it has the rights? Que because it has a tail on the right side, Then it has one peek, and that peak is at zero. So that's part A Now, for part B this'll graph does not represent all countries does not represent all countries. That's it.