Make one graph that answers the following question: What percent of all students in 2000 were Political Science majors and what percent of all students in 2004 were Political Science majors?

Make one graph to answer the following question: What percent of all students in 2000 were Biology majors and what percent were Political Science majors?

http://www.washingtonpost.com/blogs/ezra-klein/wp/2012/09/12/chicago-teachers-make-more-than-the-national-average/

http://www.cepr.net/beat-the-press/

In Chicago in the year 2000, there were approximately 1.053 million African Americans, 907 thousand whites (non-Hispanic), 754 thousand Hispanics, and 181 thousand others (other races or two or more races). What percentage of Chicagoans in 2000 were of Hispanic origin?1.053 .907 .754 .181 2.895Total million

.754.26 or 26%

2.895

part

whole

In 1994, Zaire’s per capita GNP was $125 (70% lower than it was in 1958).  What was Zaire’s per capita GNP in 1958?

What people want to do:

Notice, though,

$125*(1 .7) $212.5

$212.5*(1 .7) $63.75

*(1 .7) $125x

*(1 .7) $125x

Same as:

Multiply both sides by x:

Add x to both sides:

Factor out an x: $125 *(1 .7)x

$125 *(.3)x $125$416.67

.3x x

$125.7

x

x

$125 .7x x

$125 .7x x

Let’s say you have $100 and you increase this by 5% to get to…

$100*(1+.05) = $105If you decrease $105 by 5% you get: $105*(1-.05) =$99.75What is the overall percentage

change?Started with $100Ended with $99.75

$99.75 $100.0025 or .25%

$100

This dog costume is on sale for 40% off the retail price. The retail price is $40.00. If you have a coupon, you can receive an additional 20% off the sale price. What are the overall percentage savings?

The sale price: $40*(1-.4) = $24Determine the final price with coupon:$24*(1-.2) = $19.20

The overall percentage change??

Not 60%

Value Reference

Value Reference - Value New

($19.20 $40).52 or 52%

$40

0.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

45.00

Retail Price Sale Price Final Price withCoupon

Overall PercentageChange

Price Amount Saved

$40.00 - $16.00 = $24.00

$24.00 x.20 = $4.80

$24.00 - $4.80 = $19.20

$40.00 x.52 = $20.80

$40.00 - $20.80 = $19.20

$40.00 x .40 = $16.00

The absolute quantity is a measure of the absolute occurrence of the variable.

The relative quantity is the absolute quantity divided by some other quantity.

Three kinds of relative quantities…

Percentages

Fractions or percents are used when comparing part to total of the same type of variable. (example: percent of adults with HIV)

SortingAutosumChange to percent / decimal

DePaul Majors in 2000 and 2004

Area 2000 2004Biology 239 351English 219 297International Studies 137 148Mathematics 56 49Political Science 254 446Total 905 1291

What percent of all students are English students in 2000 and 2004?2000: =219/905 = 24.2%2004: = 297/1291 = 23.0%

Rates

Rates are used to compare different types of variables (example: tickets per person, miles per hour, or crimes per 1000 people)

Ratios

Ratios are used to compare the same type of variable from two sources.

California’s population is 33,872,000 and Oregon’s population is 3,421,000. Clearly CA’s population is larger but how many times larger?

33,872,000/3,421,000 = 9.90

The moon is 383 thousand kilometers away from earth. The sun is 149 million kilometers away. How many times further away is the sun than the moon?

Absolute or Relative?

I have 16 cheeseburgers. I have 100% more cheeseburgers than

you.I have 2 times as many cheeseburgers as

you.You have 8 cheeseburgers. I eat 3 cheeseburgers per hour.

Absolute or Relative?

I have 16 cheeseburgers. AbsoluteI have 100% more cheeseburgers than

you. RelativeI have 2 times as many cheeseburgers as

you. RelativeYou have 8 cheeseburgers. AbsoluteI eat 3 cheeseburgers per hour. Relative