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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?
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.
Full Transcript
- 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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