Lesson 11 Part I

Lesson 11

Getting Started (Introduction to Statistics, continued)

We will begin this lesson by constructing a Histogram to help us analyze a set of data. Next, we will explore data using box-and-whisker diagrams and scatter plots. When you take Statistics, you will learn many other techniques for analyzing data. If you really enjoy Statistics, you may want to consider becoming an Actuary.

Part I

In this part, we will look at data using (a) a histogram diagram, (b) a box-and-whisker diagram and (c) both.

1. Setting Up to Draw a Histogram

2. Setting Up to Draw a Histogram

In Statistics there are many ways to display data. The different types of distributions you can select to display data are in a dropdown list within the SetGraph menu.

3. Drawing a Histogram

When drawing a histogram, we need to decide on a starting point and a width for each class. The height of each bar will show the frequency of the class. We will use a width of five units.

Next, box-and-whisker (example is from a different test):
The box-and-whisker diagram gives us information about data by dividing it into sections of 25% each, called quartiles. Once you understand the box-and-whisker diagram, you will find it very useful.

I like box-and-whisker diagrams because they give a lot of information visually. In the diagram we can easily see that:

25% of the students scored between 70 and 75 on the test (a spread of 5 points)
The upper 50% of the scores is more spread out than the lower 50%.
The high score (end of upper whisker) was a 100.
The low score (end of lower whisker) was a 60.
The interquartile range is 85-70=15. So, the inner 50% of the scores are within 15 points of each other.

4. Drawing a Box-and-Whisker Diagram for our Math Grades

5. Viewing Outliers

6. Viewing Two Diagrams at Once

7. Tracing Two Diagrams

Part I

Practice Exercises

Before beginning the practice exercises, open a word document, type in the following information and then save it as Lesson11 in your CASIO folder within My Documents:

Date: (enter today's date)
To: (put your instructor's name here)
From: (put your name here)
Re: Lesson 11

The table below contains a list of US Presidents and their age at the time of their inauguration into office.

President	Age at Inauguration	President	Age at Inauguration
Washington	57	B. Harrison	55
J. Adams	61	Cleveland	55
Jefferson	57	McKinley	54
Madison	57	T. Roosevelt	42
Monroe	58	Taft	51
J.Q. Adams	57	Wilson	56
Jackson	61	Harding	55
Van Buren	54	Coolidge	51
W.H. Harrison	68	Hoover	54
Tyler	51	F.D. Roosevelt	51
Polk	49	Truman	60
Taylor	64	Eisenhower	61
Fillmore	50	Kennedy	43
Pierce	48	L.B. Johnson	55
Buchanan	65	Nixon	56
Lincoln	52	Ford	61
A. Johnson	56	Carter	52
Grant	46	Reagan	69
Hayes	54	G. Bush	64
Garfield	49	Clinton	46
Arthur	51	G.W. Bush	54
Cleveland	47

Open the eActivity named L11_PartI_a in the Lesson 11 folder.
The Presidents’ ages are listed in list1 for you! Expand the List Editor strip.
Draw a box-and-whisker (MedBox) diagram for the Presidents’ ages.
Trace so that the youngest president’s age shows below the graph.
Once you have the age showing, get a screen capture. Paste it into your Lesson11 document (under a title of PART I).
Trace so that the oldest president’s age shows below the graph.
With the oldest age showing, get a screen capture. Add two blank spaces following the first screen capture and then paste this one.
Draw a Histogram (using tab 2) of the President ages using a frequency of 1. Begin the histogram at 40 and step in 5 year increments.
Resize the window and press the up arrow a few times to separate the diagrams.
With both diagrams showing, get a screen capture. Add two blank spaces following the last screen capture and then paste this one.
You do not need to save your eActivity!