Unit 1 – Day 1 Preliminaries
• Introductions/ roll
(any peanut allergies?)
• Textbooks
• Course expectations/ student info
• Course format
• How to be successful
• Honor Code
Lesson Objectives
At the end of the lesson, students can:
•
Describe the distribution of a variable
•
Determine types of variables
•
Display variables graphically
•
Describe the overall pattern of a distribution
Foundational Definitions
Statistics:
Individuals:
Variable:
Example: Individual – Students at BHS
Variables -
Types of Variables
Categorical (Qualitative):
Example:
Quantitative:
Example:
Types of Variables
Place the following variables:
Age
College Choice
Gender
GPA
Grade Level
Phone Number
Race
Weight
Categorical (Qualitative)
Quantitative
Distributions
Distribution:
Example:
To Examine and Describe Data:
•
Examine each variable by itself first; then
examine the relationship between variables
•
Graph the data; then add numerical summaries
of the data
Displaying Distributions
Type of Variable Graphical Displays
Numerical Summaries
Categorical
Pie Charts
Bar Graphs
Counts
Percents
Proportions
Quantitative
Dot Plots
Stem Plots (Stem & Leaf)
Box Plots (Box & Whisker)
Histograms
Center (mean, median, mode)
Spread (range, standard
deviation)
m&m Activity – Dot Plot
1. I will give each student ~25 m&ms.
If you get more, cover your eyes and randomly remove candy until
you have exactly 25 pieces.
2. Calculate the percentage of ORANGE pieces.
3. Come up to the back board and place a dot for your
percentage.
Describing Distributions
****
Remember your SOCS!!! *****
Shape
Outliers
Center
Spread
Stemplot Worksheet
The following lists the running time (in minutes) of videotape
versions of 22 movies directed by Alfred Hitchcock.
Construct a stemplot and describe the distribution.
Film
The Birds
Dial M for Murder
Family Plot
Foreign Correspondent
Frenzy
I Confess
The Man Who Knew Too Much
Marnie
North by Northwest
Time
119
105
120
120
116
108
120
130
136
Film
Psycho
Rear Window
Rebecca
Vertigo
Shadow of a Doubt
Spellbound
Topaz
Under Capricorn
The Paradine Case
Time
108
113
132
128
108
111
126
117
116
Homework
Read Textbook pages 1-12
Do exercises p. 7/#2, 4, 6, 7, 8
And p. 22/#11, 13
Check answers to odd problems
Bring a leaf next class.
Review policies and procedures sheet with your
parents and get it signed!
Lesson Objectives
At the end of the lesson, students can:
•
Describe the distribution of a variable
•
Determine types of variables
•
Display variables graphically
•
Describe the overall pattern of a distribution