Frequency Tables and Histograms
A WebQuest for Math 153 (Introduction to Statistical Methods )
Designed by
Donna Hiestand-Tupper
dtupper@ccbcmd.edu

Introduction | Task | Process | Evaluation | Conclusion | Back to Lecture
If you are reading an article in a magazine or in the newspaper and come across a lot of numerical data, what would you do? Let's be honest. Most people would skip over the numbers and go right on reading the article. However, if you were to come across a picture of the data, in other words, a graph, you might look at the graph and attempt to draw some conclusions, before you continued reading the article.
In this chapter, we looked at creating a various types of graphs, specifically histograms, bar graphs, pareto charts, pie graphs, scatter plots and box plots. In this webquest, you will be creating a histogram to show how many runs are scored by your favorite baseball team.
Go to the website http://mlb.mlb.com/NASApp/mlb/index.jsp. Go to the bottom of the page and click on the arrow next to "Jump To" and select the "roster" of your favorite team.
From the homepage of your favorite team.
| Runs | |||||||||||||||
| Lower Class Limit | Upper Class Limit | Tally |
You are required to answer each of the above questions. When grading your web assignment, I will be using the rubric below. Each category (calculation, use of technology, theory and written responses) is worth 25 points. The number of points you get per category is based on the ratings excellent, good, acceptable, poor or blank. Use the rubric below as a self-check before turning in your assignment.
| Excellent 1 (25 Points) |
Good 2 (20 Points) |
Adequate 3 (15 Points) |
Poor 4 (10 Points) |
Blank 5 (0 Points) |
Score |
|
|---|---|---|---|---|---|---|
| Calculations
|
No calculation or roundoff errors are present. |
Roundoff errors are present. |
Calculation errors present. |
Calculation and roundoff errors were made. |
No Calculations Shown |
|
| Use of Technology
|
Shows complete and appropriate use of Statdisk & TI. |
Shows appropriate use of Statdisk & TI, but a calculation error is present. |
Limited or inappropriate use of Statdisk or TI. |
No use of Statdisk, but TI-83 was used. |
No use of Technology evident. |
|
| Theory Comprehension
|
Shows complete comprehension of the Statistical Theory. |
Understands most of the theory, however minor errors made. |
Shows some understanding of the theory, however explanations are unclear. |
Shows limited understanding of the theory. |
No understanding of theory evident. |
|
| Written Responses
|
Well written. Neat, typed. No grammatical or spelling errors. |
Ideas clearly presented, but spelling or grammatical errors are present. |
Poorly written response. Many spelling or grammatical errors present. |
Poorly written response. Many spelling or grammatical errors present. Assignment is hand written. |
Questions left blank. |
Conclusion
Although technology will always give us a histogram of our data, the histogram may be
misleading if the correct number of classes (or bin width) is not used. Too many
classes leads to a picture with too much information. Not enough classes gives us an
unclear picture. The apparent shape of the distribution is affected by the number of
classes chosen. Convention tells us to use between 5 and 20 classes, depending on
the number of data elements. Rounding up the class width does make creating the
frequency table easier, but rounding too much leads to empty classes at the end bars.
Rounding down leads to data elements not fitting into any classes. Using
pictures to represent data allows people to get a visual representation of data.
However, remember what Mark Twain said, "There are lies, damn lies, and
statistics."
Last updated on January 22, 2005. Based on a template from The WebQuest Page