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?
|CAHSEE Math||Statistics, Data, and Probability I|
|Statistics||Mean, Median, and Mode|
|Statistics, Data Analysis, and Probability 6||Statistical data|
cause they're just trying to mess with us here.
Since there is no month with 30.4 days in it... we can kick that incorrect answer to the curb.
And would you look at that?
Because we were able to eliminate one option,
we've now given ourselves a 1 in 3 chance of being right.
Now for those two big fat Greek terms... mode and leap year.
If we don't know 'em, we're probably going to be hosed for this problem.
Remember that leap year happens because we add a day to our year
every 4 years so that the Earth can catch up in its... race around the sun.
So every four years, we... leap... by adding a February 29th.
But the biggie vocab word we have to know here is mode.
Mm... delicious, but... no.
The mode we are concerned with is defined as the most commonly
occurring value in a data set.
In this problem, the data set we are working with is... months during a single non-leap year.
So here's a little trick to find out how many days there are in each month.
After we teach it to you, you'll know the months like... the backs of your hand.
All the knuckles are 31 day months and the spaces in between them are 30 day months.
Obviously, February is an exception. He just has to be difficult.
Since we are looking for the MODE, or the most commonly occurring value, let's group
all of our numbers together to see how many times each number occurs.
We see that we have one 28 day month, four 30 day months, and seven 31 day months.
So what's the most common term in this data set?
Yup. Piece o' cake... a la mode.
31. It occurs seven times...
We didn't even need to worry about that whole leap year thing...
it was just there to throw us off our game.
Anyway, our correct answer choice is D.