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Mean, Median, and Mode Videos 18 videos
SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?
The geometric mean of two numbers is the square root of the product. Using proportions, you can set up ratios, cross multiply, and then simplify to...
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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