Max@Math Revolution wrote:[Math Revolution GMAT math practice question]
What is the median of 10 numbers?
1) 6 of the ten numbers are less than or equal to 10.
2) 6 of the ten numbers are greater than or equal to 10.
Statement 1:
Case 1:
X, X, X, X, 10, 10, X, X, X, X
Here, the 6 blue values are all less than or equal to 10.
In this case, the median = (10+10)/2 = 10
Case 2:
X, X, X, X, 8, 10, X, X, X, X
Here, the 6 red values are all less than or equal to 10.
In this case, the median = (8+10)/2 = 9.
Since the median can be different values, INSUFFICIENT.
Statement 2:
Case 1 also satisfies Statement 2.
Case 1: X, X, X, X,
10, 10, X, X, X, X
Here, the 6 blue values are all greater than or equal to 10.
In this case, the median = 10.
Case 3: X, X, X, X,
10, 12, X, X, X, X
Here, the 6 red values are all greater than or equal to 10.
In this case, the median = (10+12)/2 = 11.
Since the median can be different values, INSUFFICIENT.
Statements 1 and 2:
Only Case 1 satisfies both statements.
In Case 1, the median = 10.
SUFFICIENT.
The correct answer is
C.
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