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CAHSEE Math 2.5 Statistics, Data, and Probability I 183 Views


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Description:

Statistics, Data, and Probability I: Drill Set 2, Problem 5. If there are 800 homes in the town, how many of them are apartments or condominiums?

Language:
English Language

Transcript

00:03

Here's a boring, unshmoopy question you'll find on the exam...

00:08

The chart below shows the percentages of the different types of homes in Shmoopville.

00:12

If there are 800 homes in the town, how many of them are apartments or condominiums?

00:17

And here are the potential answers:

00:24

So... this question is a "How To Read A Pie Chart" test --with a twist.

00:28

It takes the percentages we see on the chart...

00:30

...and makes us multiply them against a constant or base.

00:33

In this case, the question GIVES us that 100% of the pie is 800.

00:39

That is, we'd get 800 if we added up all the homes in Shmoopville --

00:44

So if 800 homes is 100% of the pie, then,

00:48

say... 50% is 400 homes and 25% is 200 homes.

00:52

So when they ask us for "apartments or condominiums" we are just looking for a summation

00:59

of the number of apartments PLUS the number of condominiums.

01:03

The OR there is big fat signal to ADD our elements.

01:07

So in this case, we don't care how many apartments there are or how many condos there are --

01:11

we just care about the TOTAL of both of them.

01:14

So to simplify the problem, we can just add the percentages, which is 20% and 25% to total 45%.

01:21

And we take that 45% and multiply it by 800 to get the NUMBER of homes.

01:26

So here we go: 800 times 45 is zero zero 40, then slip one

01:33

to the left and we get zero zero 2 and 3... and the total is 360.

01:38

Or answer B. And all the Shmoops down in Shmoopville rejoiced.

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