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# Charity 5K: Conclusions from a Boxplot

APSTAT-9X3@1M

Recently, a community group held a $5K$ Race/Fun Walk to raise money for local charities. The event was advertised as being appropriate for all ages and ability levels. Sure enough, on race day, entrants ranged from the most competitive fitness enthusiasts who ran the race at their top speed, to grandparents walking the course at a leisurely pace with their young grandchildren.

The distribution of the amount of time it took participants to finish the course are displayed in the boxplot below.

Which of the following statements correctly describes the shape of the distribution and the relative positioning of the mean and median race times?

A

The distribution is roughly symmetric and the mean race time equals the median race time.

B

The distribution is skewed left and the mean race time is less than the median race time.

C

The distribution is skewed left and the mean race time is greater than the median race time.

D

The distribution is skewed right and the mean race time is less than the median race time.

E

The distribution is skewed right and the mean race time is greater than the median race time.