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CAHSEE Math 3.1 Statistics, Data, and Probability I 199 Views


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Description:

Statistics, Data, and Probability I: Drill Set 3, Problem 1. Which of the following statements is true?

Language:
English Language

Transcript

00:03

Here's another unshmoopy question for ya...

00:05

The graph below shows the results of the mayoral race for the town of Shmoopville.

00:11

Which of the following statements is true?

00:14

Here are the possible answers:

00:21

So... this is another "can you read a graph?" question.

00:24

The question is asking us to compare the various answers as relative fractions or multiples

00:28

of each other. No short cuts here.

00:30

We have to actually identify a number with

00:32

each candidate -- that is, how many votes did each one get?

00:36

...and then just go one by one through the potential answers and ask... deal? Or no deal?

00:42

So let's start with candidate 1.

00:43

If we carefully note where the bar is, it stops at 13,000. Jot it down.

00:48

And while we're here, let's note the totals for the other candidates...

00:51

Candidate 2 got 26,000 votes,

00:53

Candidate 3 got 16,000,

00:55

and Candidate 4 got 29,000. And remember, this is in thousands of votes...

01:00

not millions, not tens, not dollars raised for their campaign, not number of political

01:04

favors... We are going to get a ton of curve balls thrown

01:07

at us, so we always need to make sure we're aware of exactly what these numbers represent.

01:12

Okay, now we just go back to potential answer A

01:14

and it says that candidate 4, with 29,000 votes...

01:17

...received twice as many as candidate 1,

01:20

who won 13,000 votes. Two times 13 is 26, not 29... so A is a big fat no... or false.

01:28

Potential answer B: candidate 2, at 26,000 votes, had 50% more votes than candidate

01:33

3, who had 16,000 votes. Well, 50% of 16 is the same as half of 16

01:39

which is 8... the questions asks for 50% MORE votes, so we'd add the 8 to the 16 and get

01:45

24 thousand votes. 24 does not equal 26 so B is also a big fat no.

01:52

Moving on.

01:53

Potential answer C: candidate 4 with 29,000 votes

01:56

won the election with about 35% of the total votes.

01:59

OK, a bit tricky here.

02:01

It's a two-parter. First, did candidate 4 win?

02:04

Well, yes she did -- the graph tells us that much. But we also have to figure out if she won

02:09

with about 35% of the TOTAL votes -- so we have to add up ALL the votes first...

02:14

If we add the votes for the 4 candidates, we see that the total votes in the election

02:19

were 13 plus 26 plus 16 plus 29... or 84,000 votes.

02:25

Is 29,000 about 35% of 84,000? It most certainly is!

02:30

So C is a definite yes here. And just to be sure D is wrong and we didn't

02:34

miss something, it's a good idea to do check that one, too

02:38

D is roughly the same as C, only it asks -- did Candidate 4 win with 50% of the votes?

02:43

Well, 50% of the votes of the total of 84,000 would be 42,000...

02:48

...so unless there were some Russian election "ballot helpers" there, candidate 4 only

02:53

had 29,000 votes, and was closer to that 35% figure.

02:57

As always, remember that the exam is asking us for the BEST answer, not always the perfect one.

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