The document contains several mathematical problems related to comparing data distributions, statistical measures, and real-world applications of statistics. Below are brief explanations for each section referenced:

1. Comparing Data Displayed in Dot Plots:

• Mean, Median, and Range: You are asked to calculate these measures for dot plots showing miles run by students at the start and end of a school year.
  • Mean: Add all data points and divide by the number of data points.
  • Median: The middle value when the data points are ordered.
  • Range: The difference between the largest and smallest data points.

2. Comparing Data Displayed in Box Plots:

• Median and Interquartile Range (IQR): For the lengths of flights flown by two model airplanes, you are asked to identify which box plot has a greater median (middle value of data) and interquartile range (spread of the middle 50% of the data).

3. Using Statistical Measures to Compare Populations:

• Comparing Means and Ranges: Roberta's plants grown in shade and sun are compared. You are asked to express the difference in their means as a multiple of their ranges.

4. Selected Response Questions:

• These questions ask for analysis of statistical data presented in various ways (dot plots, box plots) to answer questions about the spread, symmetry, and central tendency (median) of data sets.

Would you like detailed solutions or help with any specific question?

Here are five related questions for further exploration:

1. How do you calculate the interquartile range from a box plot?
2. What is the relationship between the range and the mean of a data set?
3. How can dot plots help in understanding data symmetry?
4. What is the significance of comparing medians in real-world problems?
5. How does the shape of a data distribution affect its mean and median?

Tip: Always arrange data points before finding the median and mode to ensure accuracy.