David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: Univariate Data Accessing Equal Opportunities, Exercise 20: Practice 4

Arable land is land that is used for growing crops. The amount of arable land can indicate how able a country is to produce food to support its citizens countries with the highest percentage of arable land (as a percentage of total land area) are listed in the table below.

Is knowing the percentage of land that is arable sufficient information to determine a country's ability to grow its own crops? Explain.If not, what other factors would be important to research?

The number of people per public wi-fi hotspot, in those countries where hotspots are available, is summarised below.These represent the highest values among high-income countries.

Find the range, quartiles and interquartile range of this data set. Round to the nearest tenth where necessary.

The number of people per public wi-fi hotspot, in those countries where hotspots are available, is summarised below.These represent the highest values among high-income countries.

Are there any outliers in this data set? Explain.

The number of people per public wi-fi hotspot, in those countries where hotspots are available, is summarised below.These represent the highest values among high-income countries.

Find the range, quartiles and interquartile range of the data set with any outliers removed.

The number of people per public wi-fi hotspot, in those countries where hotspots are available, is summarised below.These represent the highest values among high-income countries.

Which is most affected by the presence of outliers,  the range or the interquartile range?Explain.

Create a set of data with an odd number of values(at least seven) where the three quartiles are all whole numbers.

Create a set of data with an even number of values(at least eight) where $Q$$2$ is not a value in the data set, but $Q1$ and $Q3$ are.

Create a set of data with at least six values where $Q1$ is greater than the range.