Question: In the 2016 Olympic Games, Michael Phelps won five gold medals in swimming. Following are the events he won, along with his margin of victory,

In the 2016 Olympic Games, Michael Phelps won five gold medals in swimming. Following are the events he won, along with his margin of victory, in seconds. Event Margin of Victory 200m Butterfly 0.04 200m Individual medley 1.95 4

a. What was the mean margin of victory?

b. What was the median margin of victory?

c. Assume the margin of victory in the 200m individual medley was incorrectly entered as 19.5. Which would increase more, the mean or the median? Explain why.

Event Margin of Victory 200m Butterfly 0.04 200m Individual medley 1.95 4 x 100m Freestyle 0.61 4 x 200m Freestyle 2.47 4 x 100m Medley 1.29

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