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CAHSEE Math Videos 210 videos
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CAHSEE Math 3.2 Statistics, Data, and Probability I 190 Views
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Description:
Statistics, Data, and Probability I: Drill Set 3, Problem 2. Which day had the greatest percentage increase in time spent from the previous day?
Transcript
- 00:03
Here's an unshmoopy question you'll find on an exam somewhere in life...
- 00:06
The following graph shows the number of minutes that Kate had spent working on
- 00:10
math homework over the course of a week.
- 00:13
Which day had the greatest percentage increase in time spent from the previous day?
- 00:18
Here are the potential answers:
Full Transcript
- 00:25
Okay, so this question is testing whether we can read a graph...
- 00:30
...and do we know what percentage increase means? Well, let's see.
- 00:34
Percentage change is calculated by taking the new number minus the original number
- 00:38
divided by the original number. New minus old over old. Remember that mantra.
- 00:43
In this case, percentage increase means that the new number must be larger than the original number.
- 00:51
So, just by looking at the graph, we can see that Friday and Saturday are decreases.
- 00:55
So we can automatically eliminate choice D.
- 00:58
Taking a look at our other answer choices, Tuesday, Wednesday, and Friday...
- 01:03
as in any percent question, a little red light should go off in our head,
- 01:06
indicating that things off of a small base can grow a lot
- 01:11
in the next iteration simply because the base is so small.
- 01:15
We don't actually have the calculate the percentages.
- 01:17
That would be a pain and a waste of time.
- 01:20
If we just do a visual inspection of the graph, we can see that the increase from Thursday to Friday is the largest.
- 01:27
So our answer is C, Friday.
- 01:29
...which, if you ask us, is a weird night to do the majority of your homework.
- 01:33
Take a night off, Kate. You've earned it.
- 01:36
Just don't party too hard.
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