Final answer:
This student's question entails listing elements of intervals or explaining why they are empty, which relies on the conventions used in creating histograms where values on left boundaries are included, and those on the right are excluded. The intervals mentioned don't provide enough information to list elements, but the histogram's bars indicate the number of elements in each interval. Additionally, if we consider no time interval can be zero or negative, lines on a graph representing continuous data will not intersect.
Step-by-step explanation:
The question seems to focus on understanding how a data set is represented in a histogram, particularly addressing the counting of values that fall on the boundaries of class intervals. In histograms, it is important to note that different researchers may have different methods for recording data values that fall exactly on a class interval boundary. Generally, a value is included in a class interval if it is on the left boundary but excluded if it falls on the right boundary. The rules for which boundary to include or exclude are essential for creating an accurate representation of the data.
As for the intervals provided in the question, without the actual count of the red sports cars data, we cannot definitively list the elements of each interval. However, one can determine which interval has the fewest elements by looking at the histogram's corresponding bars, with the shortest bar representing the interval with the fewest data points.
In terms of the lines in Figure 34.9, if we assume that no time interval can be less than zero, and all intervals have some positive value, the lines in question will not intersect. This concept is fundamental in continuous data representation and particularly relevant when discussing things like the limit of detection in scientific measurements, where the smallest meaningful interval is definitively >0.
When constructing a histogram, one needs to ensure that there are clear rules regarding the inclusion of data on interval boundaries, uniformity in interval width, and consistent use of histograms. An accurate sketch with a ruled line and proper scaling on the axes is crucial for creating informative and visually compelling graphs.