The Roller Coaster Database maintains a web site (www.rcdb.com) with data on rol

Question

The Roller Coaster Database maintains a web site (www.rcdb.com) with data on roller coasters around the world. Some of the data recorded include whether the coaster is made of wood or steel and the maximum speed achieved by the coaster, in miles per hour. The boxplots display the distributions of speed by type of coaster for 145 coasters in the United States, as downloaded from the site in November of 2003 GSTEEI WOODEN 20 40 60 SPEED (MPH) 80 100 120 (a) Do these boxplots allow you to determine whether there are more wooden or steel roller coasters? (b) Do these boxplots allow you to say which type has a higher percentage of coasters that go faster than 60mph? Explain and, if so, answer the question. (c) Do these boxplots allow you to say which type has a higher percentage of coasters that go faster than 45mph? Explain and, if so, answer the question. Hint: Think twice on this one.

Explanation / Answer

Ans:

a)No,boxplot does not indicate the number of roller coasters,it gives the distribution of speeds of two types of coasters.

b)Yes,steel type coasters have higher percentage of coasters that go faster than 60 mph,as mdeian speed for steel type is approximately 60 mph,it means 50% have speed higher than 60mph.

But wooden type have third quartile qpproximately 60 mph,means that only 25 % have speed higher than 60 mph

.c)No,this boxplot does not indicate about which type has higerer percentage of coasters that go faster than 45 mph.

As,both types have first quartile approximately 50 mph,it means that both types have 75% of the coasters that go faster than 50 mph.

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