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?
|Math||Statistics and Probability|
|Mathematics and Statistics Assessment||Probabilistic Reasoning|
|Problem Solving and Data Analysis||Data collection and evaluation|
|Product Type||SAT Math|
|SAT Math||Statistics and Probability|
|Statistics||Mean, Median, and Mode|
Whenever we’re given a hypothetical data set without many details, we can always make up our own values.
For example, in this case, we know our data set has 9 numbers.
So we just need to make up a data set that… works.
The four largest numbers are doubled. That's 9, 8, 7, and 6 in this case. We're gonna double those.
So what happens to the median value?
Remember that the median value is simply the middle value of all of the data.
We can find it by repeatedly getting rid of the minimum and maximum values until we’re
left with one number.
In our first data set, we’d get rid of 1 and 9 first. Then 2 and 8, followed by 3 and 7.
Finally, we get rid of 4 and 6, to be left with 5.
What about our second, altered data set?
First we get rid of 1 and 18, 2 and 16, 3 and 14, and finally 4 and 12.
We’re left with 5.
In both cases, we’re left with 5 as the median.
Our answer is A… the median doesn't change.