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

Always follow your order of operations!!

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

Always follow your order of operations!!

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

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)

(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