Stats Question: The Boston marathon is a very competitive race...

lizierossetti

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The Boston marathon is a very competitive race. To qualify for the Boston marathon, male runners must have completed a marathon in less than 3 hours and 5 minutes within the last year.
Other marathons, such as the Chicago marathon, have no qualifying times. Anyone is able to run this race, even without completing a different marathon earlier in the year.
Consider the groups of runners of each race: Boston marathon runners and Chicago marathon runners. Which group's finishing times for the marathon would most likely have the larger standard deviation?


a) The Chicago marathon finishing times would more likely have a higher standard deviation than the Boston marathon finishing times.

b)The Boston marathon finishing times would more likely have a higher standard deviation than the Chicago marathon finishing times.

c)They would likely have the same standard deviation because many of the same people run both races.

d)There is not enough information to predict the relative sizes of their standard deviations.
 
As with your previous threadhttps://www.freemathhelp.com/forum/threads/106344-Stats-Question-Help-me-please, I'll assume you've not shown any work because you have none to show. Again, we'll start with the definitions. The Standard Deviation of a data sethttp://www.mathsisfun.com/data/standard-deviation.html is a measure of how spread out the numbers are. You can think of it as sort of an "average" of how far away each score is from the mean. Here you're asked whether the Boston Marathon or the Chicago Marathon has a higher standard deviation, although you're not told what either one of those values is. This is where you need to apply your understanding of the concepts at play. Consider the slower runners, those who haven't completed a marathon in 3 hours 5 minutes or less. Which marathon(s) are they eligible for? Consider the faster runners. Which marathon(s) are they eligible for? What does that mean for the standard deviation of each race? What would it mean if a large number of slow runners signed up for a marathon?
 
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