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Statistics and Probability Videos 134 videos
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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?
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.
Full Transcript
- 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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