Question

In triathlons, it is common for racers to be placed into age and gender groups. friends leo and mary both completed the hermosa beach triathlon, where leo competed in the men, ages 30 - 34 group while mary competed in the women, ages 25 - 29 group. leo completed the race in 1:22:28 (4948 seconds), while mary completed the race in 1:31:53 (5513 seconds). obviously leo finished faster, but they are curious about how they did within their respective groups. can you help them

Answer 1

Given : Men's division : 4313 seconds with a standard deviation of 583 seconds

Ladies' division : 5261 seconds with a standard deviation of 807 seconds

Leo completed the race : 4948 seconds

Mary completed the race : 5513 seconds

Leo : Z=4313-4948/583=-1.0892

Mary : Z= 5261-5513/807=-.3123

They both ran below the mean. Leo, more than one standard deviation while Mary was not even a half a SD below the mean.