varundixitmro2512
niks18
MathRevolution
[GMAT math practice question]
What is the median value of the data displayed in the following frequency table?
Attachment:
a.png
\(1) x=2\)
\(2) y=5\)
As the data is arranged in ascending order, so \(y>5\). This implies that minimum numbers in the set will be \(= 1+2+3+4+5=15\).
Hence median will be a number that will in the \(8th\) or higher position depending upon the value of \(y\). Hence \(x\) cannot be median because last \(x\) will be at \(6th\) position.
So essentially we need to know the value of \(y\)
Statement 1: nothing mentioned about \(y\).
InsufficientStatement 2: directly provides the value of \(y\).
SufficientOption B
we dont know the value of x. we cant assume that x will take value b/w 1 and 3
hi
varundixitmro2512I am not saying that the value of x is between 1 & 3. The question states that the frequency of x is 3, hence it will not impact the median because frequency of y is more than 5
For eg. let x=100 & y=5,So if you arrange the numbers in ascending order, then it will be as follows -
0,1,1,3,3,3,4,4,4,4,4,100,100, you can calculate the median of this set.
you may take any value of x, as long as y>5, it will not impact the median.
For clarity I have edited the post