13.3 Statistical graphs
Data is often summarized pictorially with a graph.
We will cover 4 types of graphs
1)
2)
3)
4)
Pie chart (circle graph)
Histogram
Frequency polygon
Stem-and-leaf display
1) Pie
13.4 Measures of Central Tendency
What do you think of when you think of average?
There are actually 3 measures that might be called averages
Measures of Central Tendency
1) Mean
2) Median
3) Mode
Ex:
MGF1106 ~ Topics in Mathematics
Study Questions
*These multiple choice study questions are designed to help prepare students for the MGF1106 final exam.
Directions: Read each question carefully. Selec
A Universal, Affirmative All A are B.
E Universal, Negative No A are B.
I Particular, Affirmative Some A are B.
O Particular, Negative Some A are not B.
S or A is Subject Term (first term)
P or B is P
Figure 1
(M) Middle Term + (P) Major Term
(S) Minor Term + (M) Middle Term
(S) Minor Term + (P) Major Term
Figure 2
(P) Major Term + (M) Middle Term
(S) Minor Term + (M) Middle Term
(S) Minor Term + (
Middle
Term Only
Minor
Major
Term Only Term Only
All A are B. No C are A. Therefore, no C are B.
Some A are B. Some C are A. Therefore, some C are B.
All A are B. All C are B. Therefore, all C are A.
Immediate inference: have only one premise, one conclusion.
Categorical Proposition: relates two classes (groups) with two premises and one conclusion. Has a
subject term and a predicate term.
Proposi
4.7 - I Translations
1. Any bank that makes too many risky loans will fail. =
4. Bromine is extractable from seawater. =
7. It its a halogen, then it isnt chemically inert. =
10. None but pirate ships
Categorical Syllogism: deductive argument of 3 categorical propositions (general statement either true
or false belonging to a group) that can be translated to standard form.
Syllogism Standard Form:
A Universal, Affirmative All A are B.
E Universal, Negative No A are B.
I Particular, Affirmative Some A are B.
O Particular, Negative Some A are not B.
S or A is Subject Term (first term)
P or B is P
Statement = True or False Value (Just information)
Argument = Premises + Conclusion, Makes a claim, Can be Good or Bad
Arguments Need:
Factual Claim (statement of evidence/support) AND
Inferential Cla
Chapter 13
Statistics
Slide 13 - 1
13.4
Statistical Graphs
Slide 13 - 2
Types of Graphs
We will look at 4 different types of graphs.
Circle graph (pie chart)
Histogram
Frequency polygon
Stem-and-l
Chapter 12
Probability
Slide 12 - 1
12.1
The Nature of Probability
Slide 12 - 2
Definitions
An experiment or trial is a controlled operation
that yields a set of results.
The possible results of an ex
Chapter 9
Geometry
Slide 9 - 1
9.1
Points, Lines, Planes, and
Angles
Slide 9 - 2
Basic Terms
A point, line, and plane are three basic terms in
geometry that are NOT given a formal definition,
yet we r
Chapter 6
Algebra, Graphs and Functions
Slide 6 - 1
6.1
Order of Operations
Slide 6 - 2
Definitions
Algebra: a generalized form of arithmetic.
Variables: letters used to represent numbers
Constant: sy
Chapter 5
Number Theory and the Real
Number System
Slide 5 - 1
5.2
The Integers
Slide 5 - 2
Number Theory (from Chapter 5.1)
The study of numbers and their properties.
The numbers we use to count are
Chapter 3
Logic
Slide 3 - 1
3.1
Statements and Logical
Connectives
Slide 3 - 2
HISTORYThe Greeks:
Aristotelian logic: The ancient Greeks were the
first people to look at the way humans think and
draw
Chapter 2
Sets
Slide
Slide 2 - 1
2.1
Set Concepts
Slide
Slide 2 - 2
Set
A collection of objects, which are called
elements or members of the set.
Listing the elements of a set inside a pair of
braces,