Final answer:
Without the specific tallies and frequencies, it is impossible to determine which option is correct. But the general approach involves calculating the range of data, deciding on the number of intervals based on the square root rule or another method, and ensuring that no data value falls on an interval boundary.
Step-by-step explanation:
The question is asking to determine the number of intervals and their length that Jamie used based on the given tallies and frequencies for data intervals. This type of problem falls under the category of descriptive statistics, specifically when dealing with the creation of frequency distribution tables and histograms in Mathematics. From the context provided, it is not possible to conclude definitively without additional information about the specific tallies and frequencies. However, we can review the principles for determining intervals.
When creating frequency distribution tables for grouped data, one must decide the number of intervals and their width. This can sometimes be based on a guideline, such as taking the square root of the number of data values and rounding to the nearest whole number. For instance, if there are 150 values of data, taking the square root of 150 and rounding gives us approximately 12, which could indicate 12 intervals. The width of each interval typically prevents a data value from falling on a boundary, which can sometimes lead to rounding up the interval length.
The actual lengths and number of intervals used by Jamie could be either 4 or 5 intervals of 1000 feet, or 6 or 7 intervals of 500 feet, as suggested in the multiple choice options. The answer to this question would require knowing the range of the data and applying the method Jamie used to determine the intervals.