The Boston marathon is a very competitive race. To qualify for the Boston marath

Question

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 would most likely have the larger standard deviation?

Explanation / Answer

Chicago marathon runners are most likely to have larger standard deviation

In boston marathon you have to complete marathon in 3:05 so this means standard deviation can not go over 3 hours

While in chicago marathon there is no such boundation over standard deviation

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