SAT Math 1.2 Statistics and Probability

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?

LanguageEnglish Language
MathStatistics and Probability
Mathematics and Statistics AssessmentProbabilistic Reasoning
Problem Solving and Data AnalysisData collection and evaluation
Product TypeSAT Math
SAT MathStatistics and Probability
StatisticsMean, Median, and Mode
Median

Transcript

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.