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CAHSEE Math 2.1 Statistics, Data, and Probability II 176 Views


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Statistics, Data, and Probability II Drill 2 Problem 1. Yogi's rate of success increased the most from when to when?

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English Language

Transcript

00:03

This question is shmoopier than the average bear…

00:08

Yogi Bear has been tracking his picnic basket-stealing rate of success

00:11

for each of the first six months of the year.

00:14

The following graph shows how Yogi fared in each of those months.

00:18

Yogi’s rate of success increased the most from… when to when?

00:23

And here are the potential answers…

00:27

Ok so this question is asking about relative growth rates and it is asking us to calculate

00:32

from one period to the next.

00:34

Note that the answer set doesn’t even include the first period so we can ignore it.

00:39

Best way to start is to just make a quick table.

00:43

Sit at it, take out our notebook and pen.

00:46

And then make this kind of table:

00:48

Second: 65

00:50

Third: 70

00:51

Fourth: 80

00:52

Fifth: 50

00:53

Sixth: 70 Well just visually we can tell that the steepest

00:57

increase is from 5 to 6 but to be hugely sure we’re right…

01:02

…we can just apply the formula NEW MINUS OLD OVER OLD to each of the choices.

01:08

For A, it looks like this: 70 – 65 over 65 and the growth rate is 5 over 65 or just 7.7%.

01:19

For B, we grow from 70 to 80 or 10 units and

01:22

get 10 over 70 or a rate of 14.3%.

01:28

For answer choice C, we grow from 4 to 5 which

01:31

is actually SHRINKAGE so we can just toss it – no growth.

01:35

Answer D goes from 50 to 70 or a growth amount of 20 – 20 over 50 is 40 per cent which

01:41

just smokes everything else.

01:45

So the answer is D.

01:46

As in… “Darn that Ranger Smith…”

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