MATH 115 INTRODUCTION TO STATISTICS
(ACTIVITY-ORIENTED FORMAT)
TEXT:
Rossman, A. and Albert, J. Activities
for Statistics: Data, Probability, and Learning from Data .
COURSE COORDINATOR:
Jim Albert (email: albert@math.bgsu.edu)
WEB STUFF
SOLUTIONS TO SELECTED ACTIVITIES
COURSE OUTLINE:
- TOPIC 1 - Data and Variables
What is data and why do we collect it?
Types of variables: categorical and measurement.
Table of counts and proportions.
Bar graph.
Dotplots.
- TOPIC 2 - Displaying and Describing Data
Stemplots
Shapes of data
Grouped count tables and histograms
- TOPIC 3 - Measures of Center
The mean.
The median.
- TOPIC 4 - Measures of Spread
The standard deviation.
The 68-95-99.7 rules.
The quartiles.
The five-number summary.
Measure of relative standing.
- TOPIC 5 - Comparing Distributions.
Comparing groups using stemplots and boxplots.
- TOPIC 6 - Graphical Displays of Association
Looking at the data using a scatterplot.
- TOPIC 7 - Correlation Coefficient
- TOPIC 8 - Least Squares Regression
Review of lines.
Finding a best line using a string.
Least squares line.
Prediction.
- TOPIC 9 - Relationships with categorical variables
Constructing a contingency table.
Marginal counts.
Conditional row proportions .
Stacked bar graph.
Conditional column proportions.
- TOPIC 10 - Random sampling
Parameters and statistics.
Simple random samples.
Tables of random digits.
- TOPIC 11 What is a Probability?
The relative frequency view
The subjective view
- TOPIC 12 - Assigning probabilities
Measuring probabilities by means of a calibration experiment
Interpreting odds
Basic probability rules
Listing all possible outcomes (the sample space)
Equally likely outcomes
Constructing a probability table by listing outcomes.
Constructing a probability table by simulation
Probabilities of "or" and "not" events.
- TOPIC 13 - Probability distributions
An average value of a probability distribution
- TOPIC 14 - Joint probability distributions
Understanding a two-way table of probabilities
- TOPIC 15 - Bayes'
rule
A Bayes' box: counts categorized by models and data
- TOPIC 16 - Inference for one proportion
Learning about a proportion
Summarizing a posterior distribution
Document: http://www-math.bgsu.edu/~albert/m115/data/syllabus2.html
Last Modified: December 1, 1999