vipulgoyal wrote:In a certain test, how many of the 35 students in a certain class got a score less than 85?
1). The average score of all students is 85
2). The median score of all students is 85
When the statements are combined, there are only two constraints:
Sum = number*average = 35*85.
Median =
85.
The scores could all be the same:
85, 85, 85...85,
85, 85...85, 85, 85.
Here, there are no scores below 85.
The scores could look like this:
84, 85, 85...85,
85, 85...85, 85, 86.
Here, there is one score below 85.
The scores could look like this:
84, 84, 84...84,
85, 86...86, 86, 86.
Here, there are 17 scores below 85.
Thus, the two statements combined are INSUFFICIENT.
The correct answer is
E.
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