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Statistics and Probability Videos 63 videos

SAT Math 1.1 Statistics and Probability
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SAT Math 1.1 Statistics and Probability. In which of the following data sets are the arithmetic mean and the median equal?

SAT Math 1.2 Statistics and Probability
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SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median...

SAT Math 1.3 Statistics and Probability
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SAT Math 1.3 Statistics and Probability. Approximately what is the probability that they will be placed in alphabetical order?

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SAT Math 1.2 Statistics and Probability 1060 Views


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Description:

SAT Math: Statistics and Probability Drill 1, Problem 2. If the four largest numbers in the set were doubled, what would happen to the median value?

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Transcript

00:03

Here’s your shmoop du jour, brought to you by hypothetical situations.

00:07

Well…let’s just suppose that it is…

00:11

A data set contains nine numbers.

00:13

If the four largest numbers in the set were doubled, what would happen to the median value?

00:19

And here are the potential answers…

00:23

Whenever we’re given a hypothetical data set without many details, we can always make up our own values.

00:29

For example, in this case, we know our data set has 9 numbers.

00:32

So we just need to make up a data set that… works.

00:35

The four largest numbers are doubled. That's 9, 8, 7, and 6 in this case. We're gonna double those.

00:43

So what happens to the median value?

00:46

Remember that the median value is simply the middle value of all of the data.

00:52

We can find it by repeatedly getting rid of the minimum and maximum values until we’re

00:56

left with one number.

00:58

In our first data set, we’d get rid of 1 and 9 first. Then 2 and 8, followed by 3 and 7.

01:03

Finally, we get rid of 4 and 6, to be left with 5.

01:07

What about our second, altered data set?

01:10

First we get rid of 1 and 18, 2 and 16, 3 and 14, and finally 4 and 12.

01:14

We’re left with 5.

01:16

In both cases, we’re left with 5 as the median.

01:19

Our answer is A… the median doesn't change.

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