Measures of Central Tendency
2.1
Central Tendency a number that represents where data tends to center.
Measures of Central Tendency
1. Mode the value that occurs most frequently in the data.
*data may have no mode, 1 mode, 2 modes, etc.
*mode is appropria
Basic Identities
3.1(Day 1)
Reciprocal Identities
1
1
sin x =
csc x =
csc x
sin x
cos x =
1
sec x =
sec x
tan x =
1
cos x
1
cot x =
cot x
1
tan x
In addition, tan x =
sin x
and cot x =
cos x
cos x
sin x
Pythagorean Identities
2
2
sin x + cos x = 1
2
2
1 +
Paired Data and Scatter Diagrams
3.1
Data from Example 1(pg. 128)
x = root depth
x
26.7
14
18
10.5
26.1
21.8
7
26
y
20.3
4.8
9
9
10.7
17.4
8.2
7.9
y = watermelon weight
x
13.9
19.3
17.5
13.1
16.5
28.4
23.9
27
y
3.5
8.7
4.3
8.7
9.1
17.1
9.7
13.1
x
10.2
13.
Populations, Samples, and Data
1.1 (Day 1)
Statistics the study of how to collect, organize, analyze, and interpret numerical information.
Population all measurements or observations of interest.
Example 1
If we want to know the average height of all who
The Law of Sines
5.1
Oblique Triangle a triangle without a right angle.
c
a
b
Law of Sines
sin
sin
sin
=
=
a
b
c
Example 1
Find the remaining parts of the triangle.
b. = 27, = 93, a = 12.6
a. = 51, = 34, a = 9.4
Ambiguous Case (SSA or ASS)
= 43, b = 1
Introduction to Random Variables and Probability Distributions
5.1
Discrete random variable when the observations of a quantitative random number can take on only a finite number
of values or a countable number of values, we say it is a discrete random va
The Cartesian Coordinate System
P.1
Coordinate Plane
Ordered Pair
(x, y)
Example 1
Graph.
A (-3, 4)
B (0, -2)
C (2, -1)
D (4, 1)
E (-3, -2)
F (-5, 0)
Pythagorean Theorem
a 2 + b2 = c 2
Example 2
Solve
Example 3
Solve
6
b
c
4
3
3
Distance Formula
d = (x2 -
What is Probability?
4.1
Probability the likelihood that a certain event will occur.
P(A): P of A or Probability of A
0
P
1 or 0%
P
100%
Ways to Compute Probability
1. Intuition
Ex. ESPN reports that the Detroit Red Wings have a 70% chance of
Cup.
2. Rela
Graphs of Sine and Cosine Functions
2.1 (Day 1)
Find:
sin 30 =
cos 30 =
(x, y)
(x, y) = (cos , sin )
sin =
cos =
tan =
csc =
sec =
cot =
Example 1
Find the exact value of each trig function.
a. sin 60
b. cos
4
c. tan
d. sec 0
6
Example 2
Find the coordina