Data Sufficiency

During an experiment, Emily collected 11 different temperature readings, all of which were integers. How many of the temperature readings were negative?

1) The median temperature reading was -1.
2) Exactly five of the temperature readings were positive.

The OA is A.

I need help to solve this DS question. Can any expert help me with it, please? Thanks.

LUANDATO wrote:During an experiment, Emily collected 11 different temperature readings, all of which were integers. How many of the temperature readings were negative?

1) The median temperature reading was -1.
2) Exactly five of the temperature readings were positive.

Statement 1:
In ascending order, the 11 temperatures look as follows:
_ _ _ _ _ -1 _ _ _ _ _.
Since all of the temperatures must be distinct integers, the five blanks in blue must represent 5 negative integers (all less than -1), while the five blanks in red must represent 5 nonnegative integers (all 0 or greater).
Since the negative readings are composed of the 5 blue blanks and the median of -1, the total number of negative readings = 6.
SUFFICIENT.

Statement 2:
Case 1: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
In this case, the total number of negative readings = 5.
Case 2: -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5
In this case, the total number of negative readings = 6.
Since the total number of negative readings can be different values, INSUFFICIENT.

The correct answer is A.

GMATGuruNY wrote:

LUANDATO wrote:During an experiment, Emily collected 11 different temperature readings, all of which were integers. How many of the temperature readings were negative?

1) The median temperature reading was -1.
2) Exactly five of the temperature readings were positive.

Statement 1:
In ascending order, the 11 temperatures look as follows:
_ _ _ _ _ -1 _ _ _ _ _.
Since all of the temperatures must be distinct integers, the five blanks in blue must represent 5 negative integers (all less than -1), while the five blanks in red must represent 5 nonnegative integers (all 0 or greater).
Since the negative readings are composed of the 5 blue blanks and the median of -1, the total number of negative readings = 6.
SUFFICIENT.

Statement 2:
Case 1: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5
In this case, the total number of negative readings = 5.
Case 2: -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5
In this case, the total number of negative readings = 6.
Since the total number of negative readings can be different values, INSUFFICIENT.

The correct answer is A.

Dear Mitch,

if the problem does not mention different, would the answer be C?
Thanks

Mo2men wrote:Dear Mitch,

if the problem does not mention different, would the answer be C?
Thanks

Correct!