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A quality control analyst collected 200 measurements of leng

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A quality control analyst collected 200 measurements of leng [#permalink] New post 24 Feb 2017, 03:02
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A quality control analyst collected 200 measurements of length. The range of the 200 measurements is 17 centimeters, and one of the measurements is 49.5 centimeters. Which of the following could be another one of the 200 measurements, in centimeters?

Indicate all such measurements.

A) 31.0

B) 32.0

C) 33.0

D) 34.0
[Reveal] Spoiler: OA

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Re: A quality control analyst collected 200 measurements of leng [#permalink] New post 04 Mar 2017, 06:47
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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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Re: A quality control analyst collected 200 measurements of leng [#permalink] New post 14 Aug 2018, 15:20
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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.
Re: A quality control analyst collected 200 measurements of leng   [#permalink] 14 Aug 2018, 15:20
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A quality control analyst collected 200 measurements of leng

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