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CAHSEE Math 1.3 Statistics, Data, and Probability I 198 Views


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CAHSEE Math Statistics, Data, and Probability I: Drill Set 1, Problem 3. The mode of the number of days in each month for a single non-leap year is what?

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Transcript

00:04

Here's the boring, unshmoopily-voiced question for ya...

00:07

The mode of the number of days in each month for a single non-leap year is:

00:13

Here are the answers...

00:17

Well, it's kind of a vocabulary test question, because if you know what "mode" is...

00:22

Right off the bat we can cross out C, or 30.4,

00:26

cause they're just trying to mess with us here.

00:29

Since there is no month with 30.4 days in it... we can kick that incorrect answer to the curb.

00:36

And would you look at that?

00:37

Because we were able to eliminate one option,

00:39

we've now given ourselves a 1 in 3 chance of being right.

00:43

Now for those two big fat Greek terms... mode and leap year.

00:48

If we don't know 'em, we're probably going to be hosed for this problem.

00:51

Remember that leap year happens because we add a day to our year

00:54

every 4 years so that the Earth can catch up in its... race around the sun.

00:58

So every four years, we... leap... by adding a February 29th.

01:02

But the biggie vocab word we have to know here is mode.

01:06

Mm... delicious, but... no.

01:08

The mode we are concerned with is defined as the most commonly

01:11

occurring value in a data set.

01:14

In this problem, the data set we are working with is... months during a single non-leap year.

01:19

So here's a little trick to find out how many days there are in each month.

01:23

After we teach it to you, you'll know the months like... the backs of your hand.

01:27

All the knuckles are 31 day months and the spaces in between them are 30 day months.

01:32

Obviously, February is an exception. He just has to be difficult.

01:36

Since we are looking for the MODE, or the most commonly occurring value, let's group

01:40

all of our numbers together to see how many times each number occurs.

01:44

We see that we have one 28 day month, four 30 day months, and seven 31 day months.

01:50

So what's the most common term in this data set?

01:53

Yup. Piece o' cake... a la mode.

01:56

31. It occurs seven times...

01:59

We didn't even need to worry about that whole leap year thing...

02:01

it was just there to throw us off our game.

02:04

Anyway, our correct answer choice is D.

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