If each of the 8 employees working on a certain project received an

Question

If each of the 8 employees working on a certain project received an award, was the amount of each award the same?

(1) The standard deviation of the amounts of the 8 awards was 0.

(2) The total amount of the 8 awards was $10,000.

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ManifestDreamMBA · Answer

Was the amount of each award the same = ?

Statement 1
SD = 0
This means all the award amounts were same, else it would have shown some deviation
Sufficient

Statement 2
Total = 10000
But we don't know anything about individual share
Insufficient

Answer A

Sketchitesh · Answer

Each of 8 employee receive award. was award same => If all got equal award.

1. Standard Deviation = 0.

Standard Deviation = \sqrt{(Xi- Mean)^2/N}} can only be zero if for any Value of Set- Mean (Average) value of set = 0 => 
in simple terms, SD can be zero only if all values are same.

https://wikimedia.org/api/rest_v1/media/math/render/svg/98f02417b7c2830d941364f6b40e22ea63a9dd1f

Sufficient

2. Total Amount = $10,000. No info on how it is disributed.  Insufficient

A is correct.

NextstopISB · Answer

Question: 
If each of the 8 employees working on a certain project received an award, was the amount of each award the same?

(1) The standard deviation of the amounts of the 8 awards was 0. 
(2) The total amount of the 8 awards was $10,000.

We are asked: 
Were all 8 award amounts equal?

Statement (1): 
The standard deviation is a measure of how spread out numbers are. 
If the standard deviation is 0, it means all values are exactly the same. 
So yes, each of the 8 awards must have been equal. 
Statement (1) alone is sufficient.

Statement (2): 
The total of the 8 awards is $10,000. 
But this only tells us the sum, not whether the amounts were equal. 
For example: 
- It could be 8 awards of $1,250 each 
- Or 1 award of $4,000 and 7 awards of $857.14 
We don't know the distribution. 
Statement (2) alone is not sufficient.

Combining: 
Statement (1) alone was already sufficient, so no need to combine.

Answer: (A) – Statement (1) alone is sufficient, but statement (2) alone is not.

Dereno · Answer

There were 8 employees who received awards.

We need to verify  whether the amount received by all 8 employees are same .

STATEMENT 1:

(1) The standard deviation of the amounts of the 8 awards was 0.

SD remains zero ONLY when all the elements in the set is same . The mean remains the same, so the deviation from mean also remains same.

Hence, statement 1 is   SUFFICIENT   to answer the question.

STATEMENT 2: 
 
(2) The total amount of the 8 awards was $10,000.

Total amount received by all 8 = $10,000

mean amount = $1250.

This scenario provides us with multiple possibilities.

Like 7 employees no awards, and the 8th employee receives $10000.

Hence,  NOT SUFFICIENT

OPTION A

bhargavhhhhhhhh · Answer

We are asked: Did all 8 employees receive the same award amount?

This is equivalent to asking: Were all 8 award amounts equal?

Statement (1): The standard deviation of the amounts of the 8 awards was 0.
If the standard deviation is 0, then all values are equal — meaning each employee received the same award amount.
Sufficient.

Statement (2): The total amount of the 8 awards was $10,000.
This only tells us the total, not whether each individual received the same amount. They could have received different amounts that still total $10,000.
Not sufficient.

Final Answer: A. Statement (1) alone is sufficient, but statement (2) alone is not.

Abhiswarup · Answer

The question asks whether amount of each award was same for each of the 8 employees. 
Analyze statements:

(1) The standard deviation of the amounts of the 8 awards was 0.

SD= sqrtsigma(xi-mean)^2/N
SD will be zero when xi-mean is zero for all 8 persons. Which is only possible when all employees have same award. Thus answer is yes and statement is sufficient.
(2) The total amount of the 8 awards was $10,000.
This statement can't provide the answer as one doesn't know what amount one employee will receive. Not sufficient.

Answer should be A.

If each of the 8 employees working on a certain project received an

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GMAT Data Sufficiency (DS) Questions

If each of the 8 employees working on a certain project received an

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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