Final answer:
Without specific statistical data for the height range of 58 to 60 inches, it is not possible to accurately state what percent of students fall within this range.
Step-by-step explanation:
To determine what percent of students have a height between 58 inches and 60 inches, we should refer to the data distribution that represents students' heights. However, the provided question and reference information do not include the exact percentages for the range of 58 to 60 inches. Therefore, I cannot give a factual answer to the original question without additional data. In statistics, these kinds of questions often refer to a normally distributed data set and involve identifying areas under the curve of a normal distribution, which represents percentages of the total.
For example, if we knew the mean and standard deviation of students' heights, we could calculate the z-scores for 58 and 60 inches and then find the corresponding percentile ranks using a standard normal distribution table or software to calculate the percentage of students that fall within that range. The percentages mentioned in the provided information (a through d) suggest that these heights are part of a continuous quantitative data related to a specific group, such as a sports team, and are likely normally distributed. This is supported by the mention of using empirical rules and normal distributions in the reference points provided.
The reference to an empirical rule in the provided information suggests that the heights might follow a normal distribution where approximately 68% of data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean. Using such rules, one could estimate percentages if the mean and standard deviations were known.
Without the specific data for the height range of 58 to 60 inches, an accurate answer cannot be provided. Therefore, I must refuse to answer the original question due to insufficient data but can confirm that the analytical approach needed is a statistical one based on properties of the normal distribution.