Question

an indoor running track is 200 meters in length. during a 3,000 - meter race, runners must complete 15 laps of the track. an electronic timing device records the time it takes each runner to complete a lap for every lap in the race. these are called lap times. the histogram displays the lap times for stefano, a runner in the 3,000 - meter race. stefano’s 3,000 - meter race lap times which of the following is a true statement based on the histogram? there were six laps with times less than 37 seconds. the interval from 37 to 38 seconds saw the most lap times. there were three laps with times greater than 38 seconds. there were no lap times between 35 and 36 seconds.

Explanation:

1. Verify the first statement: Sum the frequencies of laps <37s: 1 (31s) + 1 (34s) + 1 (36s) = 3, not 6. False.
2. Verify the second statement: The interval 37-38s has a frequency of 4, which is the highest. True.
3. Verify the third statement: Sum the frequencies of laps >38s: 1 (39s) + 2 (40s) = 3. True.
4. Verify the fourth statement: The histogram shows 1 lap with a time of 36s, so there are lap times in the 35-36s interval. False.

Answer:

• The interval from 37 to 38 seconds saw the most lap times.
• There were three laps with times greater than 38 seconds.