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CAHSEE Math 6.3 Statistics, Data, and Probability II 181 Views


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Description:

Statistics, Data, and Probability II: Drill Set 6, Problem 3. Based on the graph, what can be said about a student with a 2.5 GPA?

Language:
English Language

Transcript

00:03

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

00:07

Twenty students who have driver's licenses were asked about the number of tickets and/or

00:11

accidents that they have had and their grade point averages.

00:14

Don’t worry – we made sure not to conduct the survey while they were driving.

00:18

The results of the poll are shown in the following graph. 

00:21

Based on this graph, what can be said about a student with a 2.5 GPA?

00:27

Other than that… they would probably have a tough time interpreting this graph?

00:31

And here are the potential answers...

00:36

Okay, we’re given a precise spot on the

00:38

graph to look at, so let’s… look at it.

00:41

We want to see what can be deduced about a student with a 2.5 GPA.

00:46

If we look at the 2.5 line on the graph,

00:49

we can see that there are students with 0, 1 or 3 tickets.

00:52

And because there doesn’t seem to be much rhyme or reason to the points on this scatter plot...

00:59

…there could just as easily be a student with 2, 4 or 300 tickets.

01:04

Which brings us to the conclusion that… we can’t come to a conclusion.

01:07

Since there are no patterns in this graph, we really can’t know ANYTHING about a student

01:11

with a particular GPA.

01:16

Which leads us to answer D – Nothing can be deduced about that student’s driving record.

01:21

That is, GPA and driving are not correlated.

01:24

As in, “Don’t take your eyes off the road…’

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