Lesson Notes 12-2
Binomial Distribution
Investigation The Binomial Quiz
Here are five questions. The answer to each question is either true or false. Write
down the answer to each question. You may need to guess the answer to some of them!
1.
2.
3.
4.
5.
Lesson Notes 11-2
Measures of Central Tendency
A measure of central tendency tells us where the middle of a set of data lies. The three
most common measures of central tendency are the mode, the mean, and the median.
1. Mode
a. If two outcomes occur most
Variance & Standard Deviation
Lesson Notes 11-5
The variance combines all the values in a data set to produce a measure of spread. It is
the arithmetic mean of the squared differences between each value and the mean value.
Squaring the difference between
Measures of Dispersion
Lesson Notes 11-3
Investigation Measures of Central Tendency
What will happen to the measures of central tendency if we add the same amount to all
data values, or multiply each data value by the same amount? Complete this table and
Scatter Diagrams
Lesson Notes 12-1
Bivariate analysis is concerned with the relationships between pairs of variables (x, y) in
a data set.
Investigation Leaning Tower of Pisa
The measurements below show the lean in tenths of a millimeter of the leaning to
Lesson Notes 12-1
Random Variables
A random variable is
Random variables are represented by
There are two basic types of random variables:
Discrete random variables are
Continuous random variables are
A probability distribution for a discrete random varia
Lesson Notes 12-2
The Line of Best Fit
A line of best fit or trend line is
To draw a line of best fit by eye draw a line that will balance the number of points above
the line with the number of points below the line. To improve upon it we can have a
refer
Lesson Notes 11-1
Univariate Analysis & Presenting Data
Investigation What Should We Do With Our Test Scores
32 students took a test scored out of 10. Their results were:
0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8,
Measuring Correlation
Lesson Notes 12-4
Up to this point we have used a scatter diagram to see if there is a relationship or
correlation between two variables. Now we will seek to classify the strength of the
correlation numerically. The Pearson product-m
Lesson Notes 12-3
Least Squares Regression
Another way to improve a line of best fit involves residuals. A residual is the vertical
distance between a data point and the graph of a regression equation. The residual is
positive if the data point is above t
Lesson Notes 1-2
Simplifying/Adding/Subtracting Radicals
Radicals are the name given to finding a root of any degree. You should be familiar with
the terms square root and cube roots, but there are many other types of roots as well. We
write radicals in t
Dividing Radicals
Lesson Notes 1-4
Dividing radicals is similar to multiplying. Remember with multiplying you multiply the
outside numbers and the inside numbers are multiplied. In dividing radicals, the outside
numbers are divided and the inside numbers
Lesson Notes 2-4
Roots of Quadratic Equations
Investigation Roots of Quadratic Equations
1. Solve these equations using the quadratic formula.
a. x2 8x + 16 = 0
b. 4x2 12x + 9 = 0
c. 25x2 + 10x + 1 = 0
2. Solve these equations using the quadratic formula.
The Quadratic Formula
Lesson Notes 2-3
You know that a quadratic equation can be written in the form ax2 + bx + c = 0. Suppose
you wanted to solve this general quadratic equation using the completing the square
method.
This gives us an extremely useful fo
Lesson Notes 2-5
Graphs of Quadratic Functions Part I
Investigation Graphs of Quadratic Functions
Each of these functions is given in the form y = ax2 + bs + c. For each function,
i. Find the value of b2 4ac
ii. Graph the function on your GDC
b. y = 3x2 6
The Domain and Range of Relations
Lesson Notes 2-2
You can often write the domain and range of a relation using interval notation. For
example, for the set of numbers that are all less than 2, you can write the inequality x < 2,
where x is a number in the
Lesson Notes 2-5
Inverse Functions
The inverse of a function f(x) is f-1(x). It reverses the action of that function.
x+ 4
Example 1: If f(x) = 3x 4 and g(x) =
determine f(10) and g(26).
3
Functions are inverses if
Not all functions have an inverse.
You c
Lesson Notes 2-1
Introducing Functions
Investigation - Handshakes
In some countries it is customary at business meetings to shake hands with everybody in
the meeting. If there are 2 people there is 1 handshake, if there are 3 people there are 3
handshakes