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Eight hundred insects were weighed, and the resulting measur [#permalink]
 30 May 2019, 10:33
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Eight hundred insects were weighed, and the resulting measurements, in milligrams, are summarized in the boxplot below. Attachment: 
#GREexcercise Eight hundred insects were weighed.jpg [ 23.86 KiB | Viewed 10452 times ]
(a) What are the range, the three quartiles, and the interquartile range of the measurements? (b) If the 80th percentile of the measurements is 130 milligrams, about how many measurements are between 126 milligrams and 130 milligrams? (a) range=41, Q_1 =114, Q_2 =118, Q_3 =126, interquartilerange=12 (b) 40 measurements Math Review
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
13 Jun 2019, 08:59
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Hi,
Any explanations for the 2nd question?
Thanks!
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
14 Jun 2019, 11:46
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Carcass wrote: Eight hundred insects were weighed, and the resulting measurements, in milligrams, are summarized in the boxplot below. Attachment: The attachment #GREexcercise Eight hundred insects were weighed.jpg is no longer available (a) What are the range, the three quartiles, and the interquartile range of the measurements? (b) If the 80th percentile of the measurements is 130 milligrams, about how many measurements are between 126 milligrams and 130 milligrams? (a) range=41, Q_1 =114, Q_2 =118, Q_3 =126, interquartilerange=12 (b) 40 measurements Math Review
Question: 5
Page: 297
Difficulty: medium Attachment: 
Eight hundred insects were weighed, and the resulting measurements1.png [ 12.69 KiB | Viewed 10307 times ]
Range = 146 - 105 = 41 Attachment: 
Eight hundred insects were weighed, and the resulting measurements2.png [ 12.95 KiB | Viewed 10298 times ]
The three quartiles are: Q1 = 114, Q2 = 118, Q3 = 126 The interquartile range = (3rd quartile) - (1st quartile) = 126 - 114 = 12 ---------------------------------- (b) If the 80th percentile of the measurements is 130 milligrams, about how many measurements are between 126 milligrams and 130 milligrams?80th percentile of the measurements is 130 milligramsThis means 80% of the measurements are LESS than 130 mg 80% of 800 = 640 So, 640 measurements are LESS than 130 mg KEY CONCEPT: The 3rd quartile (Q3) is the same as the 75th percentile. Q3 = 126 So, 75% of the measurements are LESS than 126 mg 75% of 800 = 600 So, 60 measurements are LESS than 126 mg We get: Attachment: 
Eight hundred insects were weighed, and the resulting measurements3.png [ 24.75 KiB | Viewed 10302 times ]
So, the number of measurements are BETWEEN 126 mg and 130 mg = 640 - 600 = 40 Cheers, Brent
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
17 Sep 2019, 07:33
Interesting graph. What resource to use for practising such graph questions?
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
05 Oct 2019, 14:40
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For b)
You can also notice that 126 = 75th percentile (Q3) and 130 = 80th percentile (given in the question).
So the difference between them (i.e. the numbers between them) is then equal to 5 percentiles and 5% of 800 = 40.
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
06 Oct 2019, 08:14
kloppismydad wrote: Interesting graph. What resource to use for practising such graph questions? These https://greprepclub.com/forum/the-offic ... -8020.htmlRegards
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
22 Jan 2020, 05:20
thank you.This really helped clear my doubts
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
23 Jan 2020, 00:17
The answers to the questions: The concept for the 2nd question is: The percentile refers to the percentage of people (or measurements) below a given value. For example, 80th percentile is 130 milligrams implies that: 80% of all measurements are lower than 130
Attachments
File comment: the explanations are in the image
11.JPG [ 70.33 KiB | Viewed 5862 times ]
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Re: Eight hundred insects were weighed, and the resulting measur [#permalink]
27 May 2020, 05:39
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