1. Quantitative vs Qualitative
Measures quantity and can be described numerically.
Describes a category and cannot be measured numerically.
Age, Weight, Height, Time
Hair Color, Zip Code, Favorite Color
Classify each data set as quantitative or qualitative.
Number of students in a class
Quantitative
Phone numbers of students
Qualitative
Football jersey numbers
Qualitative
That was easy
Height of basketball players
Quantitative

2. Types of Data Asi De Facil Univariate Bivariate Population: Sample:
Data that uses two variables
Data that uses only one variable.
Lengths and widths of a rectangle
Weights of football players
Population:
The entire group that you want information about.
Sample:
The part of the group that is actually surveyed.
Sampling Methods
Random
Systematic
Stratified
Survey a population at random
Select a number n at random and survey every nth person
Separate a population into smaller groups, then survey each group
Survey people whose names are drawn out of a hat
Survey every 5th person that walks by
Separate a high school by grade level, then survey a random sample from each grade

3. Determining Bias in a Sample
The question is biased because the word exciting makes action films sound more interesting.
A survey question has bias when it contains assumptions that may or may not be true.
You ask local residents, “Do you prefer exciting action movies or boring documentaries?”
The question is not biased .
You ask local residents, “Do you prefer action movies or documentaries?”
The location where a survey is conducted can also cause a sample to be biased.
You ask people leaving Modell’s if they prefer to watch sports or local news on TV.
The question is biased because people shopping at Modell’s will tend to be sports fans.
You ask people leaving Target if they prefer to watch sports or local news on TV.
The question is not biased .

4. Multiplication Counting Principle
In your closet you have 3 pair of pants, 7 shirts, and 2 sweaters. How many different possible outfits can you wear using one pair of pants, one shirt, and one sweater.
There are 42 possible outfits.
The cafeteria offers 4 main courses, 3 vegetables, 5 desserts, and 6 drinks. How many possible meals can you have containing one main course, one vegetable, one dessert, and one drink?
There are 360 possible meals.
Asi De Facil

5. Evaluating Factorials
A factorial is the product of all positive integers less than or equal to a whole number.
Does that say FIVE!!!?
= five factorial
= three factorial
No…it says 5 factorial.
= six factorial
Asi de Facil

6. Working with Factorials
How many different batting order can you have with 9 baseball players?
Holy cow! That’s a lot of different possibilities.
That was easy
A swimming pool has 8 lanes. In how many ways can 8 swimmers be assigned lanes for a race?

7. Permutations
That’s a factorial.
There are 10 runners in a race. In how many different ways can they be assigned a running lane?
There are 10 runners in a race. How many arrangements of 1st, 2nd, and 3rd are there?
That’s a permutation.
Method 1
Method 2
10P3
Holy Schnikies! It’s the same answer.
Asi de Facil

8. Combinations & Permutations
In a permutation order is important. In a combination order does not matter.
Mrs. Spankawitcz has 18 students in her math class. How many different arrangements are there for her to pick 4 students at random to be in her math club?
That would be a combination of 18 students taken 4 at a time.
18C4
That would be a permutation of 18 students taken 4 at a time.
Mrs. Spankawitcz has 18 students in her math class. How many different arrangements are there for her to pick a president, vice-president, treasurer, and secretary to be in her math club?
That was easy
18P4

9. Homework Page 756 - 757: 7 – 22 All Questions Page 766: 12 - 38
Even Numbers Only

10. Probability
Probability is a measure of how likely it is for an event to happen.
We name a probability with a number from 0 to 1.
If an event is certain to happen, then the probability of the event is 1.
If an event is certain not to happen, then the probability of the event is 0.

11. Measuring Probability
If it is uncertain whether or not an event will happen, then its probability is some fraction between 0 and 1 (or a fraction converted to a decimal number).
That sounds pretty easy.

12. Probability Examples
1. What is the probability that the spinner will stop on part A? B A C D
What is the probability that the spinner will stop on
An even number?
An odd number? 3 1 2
3. What fraction names the probability that the spinner will stop in the area marked A? A C B

13. Probability Question
Lawrence is the captain of his track team. The team is deciding on a color and all eight members wrote their choice down on equal size cards. If Lawrence picks one card at random, what is the probability that he will pick blue?
blue
blue
green
yellow
black
blue
red
black

14. Probability Question
Donald is rolling a number cube labeled 1 to 6. Which of the following is LEAST LIKELY?
an even number
an odd number
a number greater than 5

15. Compound Probability That was easy
And means Multiply
Or means Add
Suppose you roll a blue number cube and a green number cube. Find the probability of the following Events.
P(blue 3 or green 5)
P(blue 3 and green 5)
P(blue 1 and green 2)
P(blue 2 or green 6)
That was easy
P(blue 5 or green 8)
P(blue 7 and green 4)

16. Homework
Page 773: 10 – 20 & 28 – 32
Even Numbers Only

18. Using a standard deck of cards, answer the following questions
Using a standard deck of cards, answer the following questions. Simplify your answers to simplest terms.
1) What is the probability of choosing a red card?
b) What is the probability of choosing a seven?
3) What is the probability of choosing a black king or a five?
d) What is the probability of choosing an ace of hearts and a club?
Asi de Facil

19. This is just way too easy.
Sample Space
I’ve done this before.
Suppose you roll a blue number cube and a green number cube. List a sample space of all the possible outcomes.
(1, 1)
(1, 2)
(1, 3)
(1, 4)
(1, 5)
(1, 6)
How many possible combinations are there?
(2, 1)
(2, 2)
(2, 3)
(2, 4)
(2, 5)
(2, 6)
(3, 1)
(3, 2)
(3, 3)
(3, 4)
(3, 5)
(3, 6)
(4, 1)
(4, 2)
(4, 3)
(4, 4)
(4, 5)
(4, 6)
(5, 1)
(5, 2)
(5, 3)
(5, 4)
(5, 5)
(5, 6)
36 possible combinations
(6, 1)
(6, 2)
(6, 3)
(6, 4)
(6, 5)
(6, 6)
List a sample space of all the possible outcomes if you pick 2 letters, 1 at a time, from the accompanying letter tiles.
This is just way too easy.
(M, A)
(M, T)
(M, H) M A T H
(A, M)
(A, T)
(A, H)
How many possible combinations are there?
(T, M)
(T, A)
(T, H)
12 possible combinations
(H, M)
(H, A)
(H, T)

20. Tree Diagram Boy Boy Girl Boy Boy Girl Girl Boy Boy Girl Girl Boy Girl
Suppose Consuela has three children. Draw a tree diagram showing all the possible combinations and determine the probability that she has three boys.
The probability that she has 3 boys is
Boy
Boy
What is the probability that Consuela has 2 girls and 1 boy?
Girl
Boy
Boy
Girl
Girl
Boy
Boy
Girl
Girl
Boy
Girl
Girl

21. Sample Space & Tree Diagram
You have turkey, ham, swiss cheese, american cheese, ketchup, and mayonnaise.
List a sample space of all the possible sandwiches you can make using one meat, one cheese, and one condiment.
Draw a tree diagram of all the possible sandwiches you can make using one meat, one cheese, and one condiment. K S
(T, S, K)
(T, S, M)
(T, A, K)
(T, A, M) M T
(H, S, K)
(H, S, M)
(H, A, K)
(H, A, M) K A
c) How many sandwich combinations are there that have american cheese and ketchup? M
Asi De Facil K S M H K A M

22. Homework Probability Homework Worksheet
Available on Homework Worksheet Page of Web Site

23. Compound Probability with Replacement
You choose a tile at random from the letter tiles shown. You replace the first tile and then choose again. Find the probabilities of the following. S S S T E E E E E E E E E E L E E E E E R S S S F O O O O O O O O O O T B A A A L L
Remember that and means multiply.
What is the probability that you will choose an E and then an O?
What is the probability that you will choose a vowel and then an S?
That was easy

24. Compound Probability without Replacement
Can I just push the easy button now?
Suppose you have a jar with 6 red marbles, 5 blue marbles, and 3 green marbles. You take one marble out and then, without replacing the first one, you take out a second marble.
Asi De Facil
What is the probability that you will pick a green one then a blue one?
What is the probability that you will pick two blue marbles?
That means blue then blue.

25. More Compound Probability without Replacement
That was easy
Ms. Crabapple has 10 boys and 12 girls in her class.
If she picks 2 students at random to come up to the board, what is the probability that she will pick;
a) 2 girls
b) 2 boys
Asi De Facil

26. Homework
Page :
Even Numbers Only