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 Chart this graph nicely compares each part to the whol
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: Use the following data set as an example for all measu
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. Select the best answer to each question and
blacken the appr
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 Predicate Term (second term)
Quality Affirmative/Negativ
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 + (P) Major Term
Figure 3
(M) Middle Term + (P) Major 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.
Some auto teller machines are places criminals hide. Al
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.
Proposition: sentence that is either true or false.
Categorica
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 fly the jolly roger. =
13. A man is a bachelor only if
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:
1. Quantifier (all, some, no) _ copula (are, are not) _
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 Predicate Term (second term)
Quality Affirmative/Negativ
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 Claim (statement being supported by evidence)
Inferential
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-leaf display
Slide 13 - 3
Circle Graphs
Circle graphs (a
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 experiment are called
its outcomes.
An event is a subcoll
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 recognize them when we see them.
A line is a set of poin
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: symbol that represents a specific
quantity
Algebraic expr
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 called natural
numbers, , or counting numbers.
= cfw_1
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 conclusions. Aristotle (384-322 B.C.) is
called the fat
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, cfw_ , is called roster form.
The symbol , read is an