Summary of Visualizing Quantitative Data: 3C

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

  • Quantitative variables have distinguishing features placing individuals into one of several groups based on a numerical value such as height, cost, exam scores, and temperature. The data from these variables can be displayed in multiple ways.
  • Quantitative variables have data observations that can be added, averaged, and have a minimum and maximum value identified.
  • Some features of a distribution are more apparent in some graphical displays than others. This also explains why some questions can be better answered in some graphical displays than others.
  • A sample is representative of a population if its characteristics tend to match the characteristics of the population. If this is not the case, a generalization of the population cannot be made from the sample.

Glossary

dotplot
a graphical display for quantitative data where each dot represents an observation.
histogram
a graphical display that groups observations into bins rather than having a single dot for each observation.
bin
a range of values that the quantitative variable can take.
endpoints
the smallest and largest values of the quantitative variable represented in the bin.
width
a numerical value that is calculated by the difference in the values of the end points.
population
the group of individuals or entities that our research or survey questions pertain to.
sample
a group of individuals or entities on which we collect data.
representative
when the characteristics of a sample tend to match the characteristics of the population.
generalize
when the sample is representative of the population, this transfers our analysis of the sample to the population.

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

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

  • I can visualize the distribution of a quantitative variable in multiple ways.
  • I can identify the features of a distribution that are more apparent in some graphical displays than in others.
  • I can identify the questions that can be better answered in some graphical displays than others.
  • I can identify and create appropriate graphical displays to visualize the distribution of quantitative variables.
  • I can compare and contrast features present in each graphical display.
  • I can identify the most useful graphical display(s) to answer a given research question.