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A quality control analyst collected 200 measurements of length. The ra

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Bunuel
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A quality control analyst collected 200 measurements of length. The ra [#permalink] New post   27 May 2019, 02:30
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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?

I. 32.0
II. 33.0
III. 34.0

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III
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D
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Re: A quality control analyst collected 200 measurements of length. The ra [#permalink] New post   27 May 2019, 03:43
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Bunuel wrote:
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?

I. 32.0
II. 33.0
III. 34.0

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III


Range of feasible values = 49.5 - 17 to 49.5 + 17
= 32.5 to 66.5

II and III only.

Option D
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Re: A quality control analyst collected 200 measurements of length. The ra [#permalink] New post   27 May 2019, 03:53
Bunuel wrote:
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?

I. 32.0
II. 33.0
III. 34.0

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III


let us consider 49.5 to be the max
Then min= 49.5 - 17 = 32.5, so in that case 32 (I) gets ruled out. We can't rule II and III under any other circumstance. So D. II and III only
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Re: A quality control analyst collected 200 measurements of length. The ra [#permalink] New post   21 Sep 2020, 06:55
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Bunuel wrote:
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?

I. 32.0
II. 33.0
III. 34.0

A. I only
B. II only
C. III only
D. II and III only
E. I, II and III

Solution:

If 49.5 cm is the largest measurement, then the smallest measurement is 49.5 - 17 = 32.5 cm, and any measurement between 32.5 cm and 49.5 cm could also be a measurement of the 200 measurements.

Answer: D
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Re: A quality control analyst collected 200 measurements of length. The ra [#permalink] New post   08 Mar 2023, 04:40
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Re: A quality control analyst collected 200 measurements of length. The ra [#permalink]
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