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ACT Math Videos 161 videos

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ACT Math 6.4 Pre-Algebra 333 Views


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Description:

ACT Math: Pre-Algebra Drill 6, Problem 4. Which is the greatest, the mean, median, or mode?

Language:
English Language

Transcript

00:03

Uh, Sir...Madam...We'd like you to come down to the station. We need to shmoop you a few questions...

00:09

In the below data set, which is the greatest: the mean, median, or mode?

00:16

And here are the potential answers...

00:22

Alright so what is this question asking?

00:24

Well we just have to calculate each. And presumably know what each means.

00:31

Mean is just average. Add up the total and divide by the number of elements.

00:35

So in this, case we have 10 elements. They total 540. So just divide

00:39

by 10 and their mean is... 54.

00:42

OK now let's check out mode.

00:44

Mode is just the most frequently recurring element.

00:47

We see that in only 1 case does an element repeat itself.

00:51

It's the 55 -- right here -- so yep, 55 is the mode and it is the leader in the clubhouse

00:51

It's the 55 – right here – so yep, 55 is the mode and it is the leader in the clubhouse

00:58

now, one larger than the mean.

01:00

OK now the median -- the median is the middle number.

01:03

So there's the old Shmoop Camp song that goes with medians -- if ya know it, sing

01:09

it with us...

01:10

Throw out the high; throw out the low... throw out the high... throw out the low...

01:17

And uh yeah -- do that a few times crossing out the highs and lows and what's left in

01:20

the middle is ... this.

01:21

It's a tie of 55s. Well, normally we'd average these 2 center numbers but in this

01:26

case they are the same so... uh... not a lot of work to do here.

01:29

We'll call it even at 55. Which ties with mode.

01:32

So the answer is both median and mode.

01:35

Choice E.

01:35

As in, "Element... ary school."

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