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CAHSEE Math 2.4 Statistics, Data, and Probability II 168 Views


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Statistics, Data, and Probability II: Drill Set 2, Problem 4. Based on the following percentage breakdown of floor spaces for two homes, which of the following is true?

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Transcript

00:03

Here’s an unshmoopy question you’ll find on an exam somewhere in life...

00:07

Based on the following percentage breakdown of floor spaces for two homes,

00:11

which of the following is true? 

00:14

And here are the potential answers...

00:20

Can we read a pie chart?

00:22

We just have to go through the potential answers here one by one until we can crown a winner.

00:27

So… A. “Both houses have the same amount of kitchen and bath space.”

00:36

Ooh… tricky.

00:37

Both houses have the same PERCENTAGE of square feet in their kitchen and bathroom

00:42

– but the 2nd house is twice the size of the first – so A is false.

00:47

B. “House 1 has more bedroom space than house 2."

00:51

Same as A - house 1 is bigger on a percentage basis, but because house 2 is twice the size,

00:58

B is false as well.

00:59

Ok… C. “House 1 has half the bedroom space of house 2.”

01:05

Well, no. The percentages are different – if they’d both been 40% then yeah, C would

01:10

be true, but in this case… nope.

01:12

D. “The two homes' living rooms have a combined floor space of 1,000 square feet.”

01:19

Well, let’s do the math.

01:20

35% of a 2,000 square foot home is 700 square feet… and then 30% of a 1,000 square foot

01:28

home is 300 square feet – add ‘em and we indeed have a thousand.

01:33

Ding ding ding! The answer is D.

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