8.2 Visualizing Data
Bar charts, histograms, pie charts, and line graphs, how to read each one, and how a truncated axis or stretched scale can mislead on purpose.
3 exercises
8.2 Exercise 1
Recall the example, in which a teacher recorded the responses on the first question of a multiple choice quiz, with five possible responses (A, B, C, D, and E). The raw data was as follows:
We computed a frequency distribution that looked like this:
Now, let's compute the proportions for each category.
8.2 Exercise 9
A collector of trading cards records the sale prices (in dollars) of a particular card on an online auction site, and puts the results in a stem-and-leaf plot:
Answer the following questions about the data:
- How many prices are represented?
- What prices represent the five most expensive cards? The five least expensive?
- What is the full set of data?
8.2 Exercise 11
An entomologist studying crickets recorded the number of times different crickets (of differing species, genders, etc.) chirped in a one-minute span. The raw data are as follows:
Construct a stem-and-leaf plot to visualize these results.
Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.