Mathematics Homework Help

Progress Check

Use this activity to assess whether you and your peers can:

• Use a five-number summary and a boxplot to describe a distribution.
• Recognize the median as the center between two equally-sized groups within a distribution of data.
• Use the IQR to describe the spread for the middle 50% of a data set.
• Recognize the limitations of a boxplot.

Context

Here is a boxplot for a distribution of data.

Prompt

1. Calculate the IQR for the boxplot shown.
   
2. Make up a data set (n = 10) that has the same minimum value, same median, and same maximum value, but a larger IQR than the boxplot shown. List your data set and then describe your strategy.
3. Make up another data set (n = 10) that has the same minimum value, same median, and same maximum value, but a smaller IQR than the boxplot shown. List your data set and then describe your strategy.