While debugging a piece of software, an engineer records the number of bugs he finds each day. If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer?

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a)
Statement (1) ALONE is sufficient, but statement (2) alone is
not sufficient to answer the question asked.
b)
Statement (2) ALONE is sufficient, but statement (1) alone is
not sufficient to answer the question asked.
c)
BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE
is sufficient to answer the question asked.
d)
EACH statement ALONE is sufficient to answer the question
asked.
e)
Statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to the
problem are needed.

Correct answer is option 'A'. Can you explain this answer?

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Test: Statistics- 2

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While debugging a piece of software, an engineer records the number of...

Step 1 & 2: Understand Question and Draw Inference

Let the number of bugs the engineer found on day 1 = a
- Number of bugs he found on day 2 = a-x
- Number of bugs he found on day 3 = a- x- x = a - 2x
- Number of bugs he found on day n = a - (n-1)x
Thus the number of bugs found by the engineer is a decreasing Arithmetic Progression.

To Find: standard deviation of the number of bugs found during the last 7 days

To find the standard deviation of a set, we need to know the following:
- Number of data points in the set
  - We are given the number of days = 7
Distance of each data point of the set from the mean of the set
- We are given the difference between the bugs found on consecutive days = x
- If we know the value of x, we can find the distance of each data point from its mean.
So, we need to know the value of x to calculate the standard deviation

Step 3 : Analyze Statement 1 independent

The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7 days is 24.
Maximum number of bugs found = (Number of bugs found on day 1) = a
Minimum number of bugs found = (Number of bugs found on day 7) = a – 6x
a - (a - 6x) = 24
- x = 6

Sufficient to answer

Step 4 : Analyze Statement 2 independent

2. The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24

Total number of bugs found in during the last 7 days = a + (a –x) +(a-2x) +……(a-6x) = 7a –21x
Average number of bugs found =
a - 3x = 24

1 equation 2 variablesà cannot find a unique value of x.
Insufficient to answer

Step 5: Analyze Both Statements Together (if needed)

Since, we have a unique answer from step- 3, this step is not required.
Answer: A

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Most Upvoted Answer

While debugging a piece of software, an engineer records the number of...

The Problem Overview
The engineer records the daily number of bugs found over 7 days, with a consistent reduction of x bugs daily. We need to determine the standard deviation of these findings.
Statement Analysis
Statement (1): The difference between the maximum and minimum number of bugs found is 24.
- This indicates that the range of the bugs found is 24.
- Since the number of bugs decreases daily, the values can be represented as:
- Day 1: M (maximum)
- Day 2: M - x
- Day 3: M - 2x
- ...
- Day 7: M - 6x
- The minimum value (Day 7) can be expressed as M - 6x, leading to:
- M - (M - 6x) = 24
- Thus, 6x = 24, which gives x = 4.
- The specific values for each day can be calculated, allowing the standard deviation to be found.
- Hence, this statement alone is sufficient.
Statement (2): The average number of bugs found is 24.
- The average does not provide enough information about the distribution of the daily values.
- Without the daily values or their range, we cannot calculate the standard deviation.
- Therefore, this statement alone is not sufficient.
Conclusion
- Statement (1) provides enough information to calculate the standard deviation.
- Statement (2) does not provide sufficient data alone.
The correct answer is option 'A': Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

Answered by Talent Skill Learning · View profile

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While debugging a piece of software, an engineer records the number of bugs he finds each day. If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer?

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While debugging a piece of software, an engineer records the number of bugs he finds each day. If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about While debugging a piece of software, an engineer records the number of bugs he finds each day. If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While debugging a piece of software, an engineer records the number of bugs he finds each day. If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. Can you explain this answer?.

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If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. 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If the number of bugs found by the engineer reduces by x with each passing day, what is the standard deviation of the number of bugs found by the engineer during the last 7 days?(1) The difference between the maximum number of bugs and the minimum number of bugs found by the engineer during the last 7days is 24.(2) The average (arithmetic mean) number of bugs found by the engineer during the last 7 days is 24a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to theproblem are needed.Correct answer is option 'A'. 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