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In distribution of 850 different measurements, x centimeters [#permalink]
25 Jun 2016, 06:35
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In a distribution of 850 different measurements, x centimeters is at the 73rd percentile. If there are 68 measurements in the distribution that are greater than y centimeters but less than x centimeters, then y is approximately at what percentile in the distribution? A. 45th B. 50th C. 55th D. 60th E. 65th Practice Questions Question: 10 Page: 121
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
25 Jun 2016, 06:38
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ExplanationIf x centimeters is at the 73rd percentile, then approximately 73% of the measurements in the distribution are less than or equal to x centimeters. The 68 measurements that are greater than y centimeters but less than x centimeters are \(\frac{68}{850}*100%\), or 8%, of the distribution. Thus approximately 73% – 8%, or 65%, of the measurements are less than or equal to y centimeters, that is, y is approximately at the 65th percentile in the distribution. The correct answer is Choice E.
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
08 Jan 2017, 12:12
sorry,i couldn't understand this question !! if there is more simple clarification plz



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Re: In distribution of 850 different measurements, x centimeters [#permalink]
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awamy wrote: sorry,i couldn't understand this question !! if there is more simple clarification plz There are 68 measurements between x and y. Now if x is at 73% what is % corresponding to y. Since \(\frac{68}{850} \times 100 = 8%\) so % corresponding to y is \(73%  8% = 65%\) Hence option E or 65% is correct.
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
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sandy wrote: In a distribution of 850 different measurements, x centimeters is at the 73rd percentile. If there are 68 measurements in the distribution that are greater than y centimeters but less than x centimeters, then y is approximately at what percentile in the distribution?
A. 45th B. 50th C. 55th D. 60th E. 65th
In a distribution of 850 different measurements, x centimeters is at the 73rd percentile. 73% of 850 = 620.5, which is approximately 621 So, we know that approximately 621 measurements are less than x (and the other 229 measurements are greater than x). We might sketch it as follows: 621 measurementsx229 measurements There are 68 measurements in the distribution that are greater than y centimeters but less than x centimeters We can add this to our sketch as follows: 553 measurementsy68 measurementsx229 measurements Notice that there are 621 measurements less than x, AND there are 68 measurements between y and x. 621  68 = 553 . So, we can conclude that 553 measurements are less than y y is approximately at what percentile in the distribution?553 of the 850 measurements are less than y. 553/850 ≈ 65% Answer: E
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
25 May 2017, 07:58
why is it reasonable that the distribution is assumed to be uniform? i.e what are the clues that tell the distribution is uniform?



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Re: In distribution of 850 different measurements, x centimeters [#permalink]
25 May 2017, 08:09
ayi wrote: why is it reasonable that the distribution is assumed to be uniform? i.e what are the clues that tell the distribution is uniform? We don't need a uniform distribution to answer this question. The percentiles are sufficient to arrive at the correct answer. Cheers, Brent
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
08 May 2018, 10:17
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sandy wrote: In a distribution of 850 different measurements, x centimeters is at the 73rd percentile. If there are 68 measurements in the distribution that are greater than y centimeters but less than x centimeters, then y is approximately at what percentile in the distribution?
A. 45th B. 50th C. 55th D. 60th E. 65th Since 68/850 = 0.08 = 8%, and there are 68 measurements that are less than x but greater than y, y is in the 73  8 = 65th percentile. Answer: E
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
08 Jun 2019, 10:19
I got D intially, however don't take 68 place of 73 while deducting 8percentile. Thanks..



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Re: In distribution of 850 different measurements, x centimeters [#permalink]
24 Jul 2020, 21:25
Does anyone know if there are types of questions like this? I've only seen 2/3 but maybe I'm looking at the wrong questions. Thanks!



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Re: In distribution of 850 different measurements, x centimeters [#permalink]
25 Jul 2020, 07:16
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chajaemin90 wrote: Does anyone know if there are types of questions like this? I've only seen 2/3 but maybe I'm looking at the wrong questions. Thanks! You'll find some similar questions in the Reinforcement Activities box (under the video lesson) here: https://www.greenlighttestprep.com/modu ... video/1362
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Re: In distribution of 850 different measurements, x centimeters [#permalink]
25 Jul 2020, 10:57
thanks!




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