Summary of Applications of Bar Graphs: 3B

This page would contain resource information like a glossary of terms from the section, key equations, and a reminder of concepts that were covered.

Essential Concepts

  • Pie charts are useful for showing percentages (parts of a whole) at some particular instance in time.
  • Contingency tables (two-way tables) can be used to create stacked and side-by-side bar charts. This is beneficial as a contingency table does not present a strong visual comparison between groups.
  • Technology is most helpful in studying and comparing the distributions of categorical variables for different populations or groups.
  • Statistical questions about different populations or groups are answered by using stacked and side-by-side bar charts to compare data distributions.

Key Equations

  • Relative change

  C =[latex]\dfrac{\lvert x_{2} - x_{1} \rvert}{x_{1}}[/latex], where C is the relative change, x1 is the initial value, and x2 is the final value.

Glossary

stacked bar chart
a chart in which two different categorical variables are compared in bars that are stacked on top of one another.
side-by-side bar chart
a chart in which two different categorical variables are compared in bars that are placed beside one another.
contingency table (two-way table)
a table that displays the results of two categorical variables simultaneously.
variable of interest
a measurable variable that changes in an experimental observation.
group of interest
the group from which data is collected. This can sometimes be referred to as the sample.
population
the entire group of individuals from which information is collected.

Put formal DCMP I Can statements to prepare for the self-check.

These I Can Statements are new (the first one is the “you will understand” rephrased as an I Can):

  • I can use tools in studying and comparing the distributions of categorical variables for different populations or groups.
  • I can use technology to create stacked and side-by-side bar charts from two-way tables.
  • I can use technology to create stacked and side-by-side bar charts from datasets.
  • I can use stacked and side-by-side bar charts to compare and answer statistical questions about different populations or groups.