Explanation

The range of 200 measurements = 17 cms

If 49.5 is the lowest measurement in the set

The highest measurement in the set of measurement = 49.5 + range = 49.5 + 17 = 66.5 cms

If 49.5 is the highest measurement in the set

The lowest measurement in the set of measurement = 49.5 - range = 49.5 - 17 = 32.5 cms.

In the second case we have two values that lie between 32.5 cms and 49.5 cms.

Thus option is C and D is correct.
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As the range between the measurement is given as 17, it means the highest and lowest measurement has difference between 17.
As it a could be question, we can take all possible answer into consideration, if the difference between the number is less than 17.
so the answer is C and D. since 49.5- C < 49.5 - D < 17.

A at Quality Control Analyst Collected 200 Measurements of length. At The the Range of at The 200 Measurements IS 17 centimeters, and One of at The Measurements IS 49.5 centimeters. Which of at The following could BE Another One of at The 200 Measurements, in centimeters?

Indicate All SUCH Measurements.

A 31.0

B 32.0

C 33.0

D 34.0

What's the answer?

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Regards
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thanks

This question infuriates me. Unless I'm mistaken, it is terribly worded. When I read "One of at The Measurements is 49.5 centimeters" I assumed they were talking about any one of the 200 measurements. Why would I presume they were giving me the upper or lower extent of the range?

The question is perfectly worded. This is a question made to test your reasoning about a range.

Of course, you can choose whatever number among the 200. You in the end will solve the question for sure but NOT in one minute, maybe in one hour.

However, the stem gave you the range for one reason. It is the difference between the upper value and the lowest value by definition.

So, if you wanna find the other number inside the range you have to reason in terms of minimum and maximum: the range.

Regards
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My point is that there is no reason I would assume that the 49.5 cm measurement mentioned is either the minimum or the maximum of this set. Therefore, if it is just one of 200 numbers in a data set, it wouldn't tell us anything. If the question had been worded, "49.5 is one of the numbers used to calculate this range" or something to that effect, it would make perfect sense to me. But as it stands, the wording seems misleading. Do you understand what I'm getting at? Thanks for your reply.

Yeah, I agree with you. A number of times, I had to verbally chastise the GRE test writers in quite a few emails. More than half the time, I successfully persuaded them to change around certain questions. This is why A) I should go to law school, and B) maybe I should take a part-time job working for ETS.

49.5 + 17 and 49.5 - 17
66.5 and 32.5

so any value between 32.5 and 66.5 would be the answer
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