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Statistics Module 1: Math Tools

Review math functions
by

Jibey Asthappan

on 28 January 2014

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Transcript of Statistics Module 1: Math Tools

Re-Visiting Algebra

But first, some thinking: A new headline reads "One-third of Americans don’t believe in evolution"
Based on the following findings:
Thirty-three percent of Americans believe that “humans and other living things have existed in their present form since the beginning of time”
and
six in ten Americans believe “humans and other living things have evolved over time.”
is the headline accurate?
Math and Statistics
Math is a tool in statistics
The driving skill is critical and logical thinking
We will use math, but it will be limited to algebra for the purposes of this class
Work with each other to get through math issues
Practice, practice, practice to become better
Remember, math is important but thinking is more important
Math and Statistics
Math is a tool in statistics
The driving skill is critical and logical thinking
We will use math, but it will be limited to algebra for the purposes of this class
Work with each other to get through math issues
Practice, practice, practice to become better
Remember, math is important but thinking is more important
Average
Add the values and divide by the number of values
Mathematically, the sum of (∑) the x's divided by the N or n
What does the average (mean, Xbar, μ) tell us?
How can it be inaccurate?
Find the average of shoe sizes
Less than, Greater than, equal to
Jane's shoe size<John's shoe size
Xjane<Yjohn
x=y, x(not equal)y
μU.S.>μclass (shoe size)
15.2344≈15.234 15.2344≠15
Describe a mean and hypothesize that one is greater than, less than, or equal to the other

Percents, Square Root and Powers
15%=.15
(15%)⁵

∑(xi-yi)⁵
∑(xi)⁵ x={1,5,8,10,7}
Sqrt of 36?
Sqrt (∑(xi)⁵)

Good Things to Know
Anytime we use a Greek letter- it is the TRUE value
μAmerica>Xbar_class
(alpha) vs. a
(Beta) vs. b
N vs. n
As n -> N, Xbar -> μ
Algebra Gymnastics
Manipulating equations is important
Doing so requires you to follow rules and to think
C=X-B solve for x
C=Bx
C(x)=1/2
∑xi + b=5 ∑ (xi+b)=5
x^2=36
Let's work with Excel!
Open the UCR crime data and calculate the mean
Things to know:
“=” starts and equation
All mathematical operations work in the equation
Copy and pasting properties
“\$” prevents the auto function of copy and paste, thus A\$11 will stay
You can build on the equation
Use the Excel help file from blackboard for reference
Full transcript