To find the interval that contains the median lap time, we need to identify the position of the median in Stefano's lap times.

Since Stefano completes 15 laps, the dataset has 15 lap times. The median is the middle value when the lap times are ordered, so for 15 observations, the median will be the 8th lap time.

Now, let's determine which interval contains the 8th lap time:

• Intervals of Lap Times:
  • 36–37 seconds
  • 37–38 seconds
  • 38–39 seconds
  • 39–40 seconds

Assuming the histogram provided shows the frequency (number of laps) for each interval:

1. Frequency for Each Interval:

   • Let's say the frequency of each interval is provided by the histogram (since we don't have the actual histogram, I will describe the method).

2. Cumulative Frequency:

   • Start by adding up the frequencies from the first interval until the cumulative frequency reaches or exceeds 8 (which corresponds to the 8th lap time).

3. Identify the Interval:

   • If the cumulative frequency reaches or exceeds 8 in a particular interval, then the 8th lap time falls within that interval.

For example:

• If the frequency distribution is as follows:
  • 36–37 seconds: 3 laps
  • 37–38 seconds: 4 laps (cumulative: 7 laps)
  • 38–39 seconds: 5 laps (cumulative: 12 laps)
  • 39–40 seconds: 3 laps (cumulative: 15 laps)

The 8th lap time would fall in the 38–39 seconds interval since the cumulative frequency of the first two intervals is 7, and adding the third interval (38–39 seconds) gives a cumulative frequency of 12, which includes the 8th observation.

Thus, the interval containing the median lap time is 38–39 seconds.

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. How does the shape of the histogram help in understanding a runner's performance?
2. What would the mean lap time indicate in this context?
3. How does the consistency of lap times affect overall race strategy?
4. How might variations in lap times be analyzed for improving performance?
5. What are the advantages of using the median over the mean in analyzing lap times?

Tip: For small datasets like this, the median is simply the middle value, making it easy to locate by counting.