Final answer:
The park ranger uses numerical measures to report average visit duration, and graphical tools like histograms or bar charts could display this visually. For categorical data like car colors, a bar graph is most suitable. Percentile scores indicate relative performance compared to peers.
Step-by-step explanation:
When the park ranger at Yellowstone National Park reports the average length of time that visitors spend in the park, he is using numerical measures to summarize the data. This involves calculating metrics such as the mean or median to provide a single value that represents the central tendency of the time spent by visitors.
If he chooses to display this information visually, he could use graphical tools such as histograms or bar charts, which are effective in showing distributions of quantitative data.
For example, a histogram might display the range of visit durations and the number of visitors that fall within each time range, while a bar chart could compare the average times across different days, weeks, or months.
If you collect data on the color of cars driven by students in your statistics class and want to display this information graphically, a bar graph is the better choice since this data is categorical rather than continuous. Each bar would represent a different car color, and the height of the bar would indicate how many students drive cars of that color.
Interpreting percentile scores, such as an 80th percentile in math indicates that your daughter scored higher than 80% of the students in her grade, while a 76th percentile in reading indicates she scored higher than 76% of her peers. These scores help to understand her relative performance in these subjects.