Final answer:
Real limits for a score of 68 inches are 67.5 to 68.5 inches. Heights of individuals are continuous quantitative data, and the provided intervals help determine percentages and the number of players' heights in each interval for statistical analysis.
Step-by-step explanation:
When measuring height to the nearest inch, the real limits for a score of 68 inches would be between 67.5 inches and 68.5 inches. This assumes that any height from 67.5 up to, but not including, 68.5 will be rounded to 68 inches. This type of measurement is necessary when the data needs to be grouped into intervals, which is common in statistical analysis to create histograms or to calculate relative frequencies.
Considering the provided intervals, a height measurement of 68 inches falls within the 67.95-69.95 inches interval. For your examples:
- The percentage of heights that are from 67.95-71.95 inches would include the intervals for 68 and 70 inches.
- The percentage of heights that are from 67.95-73.95 inches would also include the interval for 72 inches.
- The percentage of heights that are more than 65.95 inches would include all intervals starting from 67.95 and above.
- The number of players in the sample who are between 61.95 and 71.95 inches tall would include the intervals covering these heights.
The data discussed here, including heights of individuals, are considered continuous quantitative data, as they can take on any value within an interval and are measured on a continuous scale.