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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?. Activity 4 Problem.

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Activity 4 Problem

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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?


Activity 4 Problem

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 a lot of you did:

Notice, though,


Same as:

Multiply both sides by x:

Add x to both sides:

Factor out an x:


Successive Percents


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

$100*(1+.05) = $105

If you decrease $105 by 5% you get:

$105*(1-.05) =$99.75

What is the overall percentage change?

Started with $100

Ended with $99.75


Dog Jeans are 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) = $24

Determine the final price

with coupon:

$24*(1-.2) = $19.20


The overall percentage change??

Not 60%


Absolute vs

Relative

Quantities


  • 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)

Sorting

Autosum

Change to percent / decimal


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. Absolute

I have 100% more cheeseburgers than you. Relative

I have 2 times as many cheeseburgers as you. Relative

You have 8 cheeseburgers. Absolute

I eat 3 cheeseburgers per hour. Relative


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