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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?
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.
Full Transcript
- 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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