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5 numbers are 10,15,22,30,x. Can the average of this set be determined

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5 numbers are 10,15,22,30,x. Can the average of this set be determined [#permalink] New post   09 Jan 2022, 10:18
5 numbers are 10,15,22,30,x. Can the average of this set be determined?
1. x is greater than or equal to 22
2. the median is 22

My problem is that these 2 statements can't help me to find a definitive average. But should the answer be D (each is sufficient because the answer to the question is No), or should it be E (since there are multiple results from these 2 statements? I would choose D but I am not 100% confident.
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Re: 5 numbers are 10,15,22,30,x. Can the average of this set be determined [#permalink] New post   09 Jan 2022, 10:33
I feel the answer is E.
1. Average can be determined if there is only one value for X, but here we have two or more than two values such as 22 or above.Not sufficient.

2.If median is 22, still then the possibility of values for X varies- X could be any value, less than or more than or equal to 22. So, not sufficient.

A & B together would also not give any certain answer.
Hence E.

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Re: 5 numbers are 10,15,22,30,x. Can the average of this set be determined [#permalink] New post   10 Jan 2022, 06:53
Yogananda wrote:
I feel the answer is E.
1. Average can be determined if there is only one value for X, but here we have two or more than two values such as 22 or above.Not sufficient.

2.If median is 22, still then the possibility of values for X varies- X could be any value, less than or more than or equal to 22. So, not sufficient.

A & B together would also not give any certain answer.
Hence E.

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I think my main question is whether there is a difference between Yes/No questions & non-Yes/No questions in DS. I agree that the answer would be E if the question is a non-Yes/No question. But if they change the question from non-Yes/No to a Yes/No type, would the answer change from E to D?
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Re: 5 numbers are 10,15,22,30,x. Can the average of this set be determined [#permalink] New post   10 Jan 2022, 08:33
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kkk20 wrote:
5 numbers are 10,15,22,30,x. Can the average of this set be determined?
1. x is greater than or equal to 22
2. the median is 22

My problem is that these 2 statements can't help me to find a definitive average. But should the answer be D (each is sufficient because the answer to the question is No), or should it be E (since there are multiple results from these 2 statements? I would choose D but I am not 100% confident.

The question frame is not one that would realistically appear on the exam. Yes/No questions do not follow a can/could construct like the above (on the topic of averages). I would expect the question to be more open-ended: What is the average (arithmetic mean) of the set? Alternatively, the exam could toss in a value to fit a Yes/No construct: Is the average (arithmetic mean) equal to (or it could be greater than, less than) [number]?

I would not worry about potential question types you have not come across while studying official questions. If you do encounter something that seems different, just make a note of it, ask about it in the forum if there is not already a discussion, and move on. There are far more constructive considerations that may spring from actual questions you encounter during your preparation.

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Re: 5 numbers are 10,15,22,30,x. Can the average of this set be determined [#permalink]
10 Jan 2022, 08:33
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