To determine the amount of laps needed to cover 10 km on a 400-meter track, one would need to run 25 laps. A stratified sampling method is used to select random lap times across different races for analysis, and various percentages are used to analyze running speeds and times completed by runners.
Step-by-step explanation:
To accurately calculate the distance of running a lap, you will need to know the length of the track.
A standard outdoor track is 400 meters per lap.
Therefore, to cover a 10-kilometer distance, you would divide the total distance by the length of one lap:
- 10 kilometers = 10,000 meters (since 1 kilometer = 1,000 meters).
- Number of laps = Total distance / Length of one lap.
- Number of laps = 10,000 meters / 400 meters per lap.
- Number of laps = 25.
To run 10 kilometers on a 400-meter track, you need to complete 25 laps.
Stratified Sampling Method
For a stratified sampling method concerning lap times, you will:
- Select races 1 to 20 as different strata.
- Use a random number generator to pick six lap times from each stratum.
- Record the lap times for laps two to seven as requested.
This method ensures a representative sample of lap times is selected.
Analyzing Runner Speeds and Times
To determine the relative frequency of laps completed within certain timeframes:
- Calculate the percentage of laps completed in less than 130 seconds.
- Determine the fastest 3 percent of lap times that are under a certain time.
- Identify the range of times for the middle 80 percent of lap times.
These analyses can be used to understand a runner's performance and set training goals.