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Description:
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?
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,
Full Transcript
- 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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