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M02-28

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Joined: 02 Sep 2009
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M02-28  [#permalink]

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New post 16 Sep 2014, 00:18
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

57% (01:17) correct 43% (01:27) wrong based on 178 sessions

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The following table shows results of a quality inspection of a lot of 15 mirrors.

Image

The difference between the median number of defects and the average number of defects in the sample checked is between:


A. -1 and 0
B. 0 and 0.5
C. 0.5 and 1
D. 1 and 1.5
E. 1.5 and 2

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Joined: 02 Sep 2009
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Re M02-28  [#permalink]

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New post 16 Sep 2014, 00:18
2
1
Official Solution:


The following table shows results of a quality inspection of a lot of 15 mirrors.

Image

The difference between the median number of defects and the average number of defects in the sample checked is between:


A. -1 and 0
B. 0 and 0.5
C. 0.5 and 1
D. 1 and 1.5
E. 1.5 and 2


Sort the observations of the number of defects: 0 0 0 0 0 0 1 2 2 2 2 3 3 3 4

The median is the middle term, which is 2.

The average can be calculated as follows: \(\frac{0*6 + 1*1 + 2*4 + 3*3 + 4*1}{15} = \frac{22}{15}\)

The difference between the median and the average is \(2 -\frac{22}{15} = \frac{8}{15} = 0.53\).


Answer: C
_________________

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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Manager
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Concentration: Real Estate, International Business
GMAT 1: 600 Q33 V40
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Re M02-28  [#permalink]

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New post 11 Jan 2016, 14:23
I think this is a poor-quality question and I agree with explanation. This does not seem like a 700 level question.
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Joined: 09 Jun 2014
Posts: 56
Location: India
Concentration: General Management, Operations
Schools: Tuck '19
GMAT 1: 720 Q50 V38
Re: M02-28  [#permalink]

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New post 20 Mar 2018, 05:56
Bunuel wrote:
Official Solution:


The following table shows results of a quality inspection of a lot of 15 mirrors.

Image

The difference between the median number of defects and the average number of defects in the sample checked is between:


A. -1 and 0
B. 0 and 0.5
C. 0.5 and 1
D. 1 and 1.5
E. 1.5 and 2


Sort the observations of the number of defects: 0 0 0 0 0 0 1 2 2 2 2 3 3 3 4

The median is the middle term, which is 2.

The average can be calculated as follows: \(\frac{0*6 + 1*1 + 2*4 + 3*3 + 4*1}{15} = \frac{22}{15}\)

The difference between the median and the average is \(2 -\frac{22}{15} = \frac{8}{15} = 0.53\).


Answer: C





Hi Bunnel,
Please advise.

The question asks the difference between Median and average number of defects ..I believe it should be just average or average of defects ..(No average number number of defects--gets me into thinking its the average of sum of frequency..)
Intern
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B
Joined: 25 Jan 2018
Posts: 5
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Re M02-28  [#permalink]

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New post 27 Apr 2018, 19:27
I think this is a poor-quality question and I agree with explanation. The language of question is such that I subtracted median from average which resulted in choice A, I think they should specify it more clearly.
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Joined: 17 Jan 2017
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Re: M02-28  [#permalink]

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New post 07 May 2018, 11:25
There is nothing wrong with that question. Clear explanation.
Re: M02-28 &nbs [#permalink] 07 May 2018, 11:25
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