aeros232 wrote:
97 students take part in a test and the median score is 85. Which of the following descriptions must be correct?
I. At least 49 students’ score are equal to or more than 85.
II. At least 49 students’ score are less than 85.
III. At most 49 students’ score are equal to or more than 85.
A. I
B. II
C. III
D. I & II
E. I & III
Need help since I don't agree with the answ.
97 students take part in a test.
Median score is 85..
So it can be represented as below
(.........48 numbers........), 85, (...........48 numbers...........)
Now lets start going through options.
Option I : At least 49 students’ score are equal to or more than 85.
We see that the numbers on the right of median has to be greater than or equal to 85. So, 49 numbers including the median has to be greater than equal to 85.
There can be more numbers equal to 85 or less than 85 on the left hand side of the median.
So atleast 49 students score are equal or more than 85.
CORRECT Option II : At least 49 students’ score are less than 85.
So for median to be 85.. THe numbers on the left has to be less than or equal to 85. So,
atleast 49 students score should be less than or equal to 85.INCORRECTOption III : At most 49 students’ score are equal to or more than 85.
As we discussed in option I . There may be more numbers on the left hand side of median which may be equal to 85.
INCORRECTAnswer AP.S. : I did mistake in solving and got confused somehow between atmost and least. So such questions has to be tackled very carefully.
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