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The highest term in a set is 3SD above the Mean. The lowest term is 4S

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The highest term in a set is 3SD above the Mean. The lowest term is 4S  [#permalink]

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New post 15 Nov 2017, 21:06
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The highest term in a set is 3SD above the Mean. The lowest term is 4SD below the mean. If the highest term is 200 and Range is 140, find the Standard Deviation.

A. 20
B. 60
C. 140
D. 200
E. 300

Source: Experts' Global
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Joined: 02 Sep 2009
Posts: 50544
Re: The highest term in a set is 3SD above the Mean. The lowest term is 4S  [#permalink]

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New post 15 Nov 2017, 22:03
1
1
Sangeeta2018 wrote:
The highest term in a set is 3SD above the Mean. The lowest term is 4SD below the mean. If the highest term is 200 and Range is 140, find the Standard Deviation.

A. 20
B. 60
C. 140
D. 200
E. 300

Source: Experts' Global


The highest term in a set is 3SD above the Mean: Highest term = Mean +3SD ;

The lowest term is 4SD below the mean: Lowest term = Mean - 4SD;

Subtract 2 from 1:

Highest term - Lowest term = (Mean +3SD) - (Mean - 4SD);

Range = 7SD;

140 = 7SD;

SD = 20.

Answer: A.
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Collection of Questions:
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Re: The highest term in a set is 3SD above the Mean. The lowest term is 4S  [#permalink]

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New post 15 Nov 2017, 22:09
Sangeeta2018 wrote:
The highest term in a set is 3SD above the Mean. The lowest term is 4SD below the mean. If the highest term is 200 and Range is 140, find the Standard Deviation.

A. 20
B. 60
C. 140
D. 200
E. 300

Source: Experts' Global


Let mean be denoted as M
Highest term = M + 4SD
Lowest term = M - 3SD

Range = 140, i.e.
M + 4sd - M + 3sd = 140
7sd = 140
sd = 20;

or

M+4sd = 200 .. eq 1
Range = 140 --> 200 - Least number = 140 ==> least number = 60
M - 3sd = 60 .. eq 2

Solve for sd from eq 1 and 2; you will get 7sd = 140 and sd = 20;

Now my doubt is - where is 20 in the answer choices ??? or did I make a mistake :cool: :cool:
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Joined: 02 Sep 2009
Posts: 50544
Re: The highest term in a set is 3SD above the Mean. The lowest term is 4S  [#permalink]

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New post 15 Nov 2017, 22:11
gmathighh wrote:
Sangeeta2018 wrote:
The highest term in a set is 3SD above the Mean. The lowest term is 4SD below the mean. If the highest term is 200 and Range is 140, find the Standard Deviation.

A. 20
B. 60
C. 140
D. 200
E. 300

Source: Experts' Global


Let mean be denoted as M
Highest term = M + 4SD
Lowest term = M - 3SD

Range = 140, i.e.
M + 4sd - M + 3sd = 140
7sd = 140
sd = 20;

or

M+4sd = 200 .. eq 1
Range = 140 --> 200 - Least number = 140 ==> least number = 60
M - 3sd = 60 .. eq 2

Solve for sd from eq 1 and 2; you will get 7sd = 140 and sd = 20;

Now my doubt is - where is 20 in the answer choices ??? or did I make a mistake :cool: :cool:


The correct answer is A. Check here: https://gmatclub.com/forum/the-highest- ... l#p1962998

P.S. Edited the options in the original post.
_________________

New to the Math Forum?
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.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

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Posts: 2
Re: The highest term in a set is 3SD above the Mean. The lowest term is 4S  [#permalink]

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New post 15 Nov 2017, 22:18
Bunuel wrote:
gmathighh wrote:
Sangeeta2018 wrote:
The highest term in a set is 3SD above the Mean. The lowest term is 4SD below the mean. If the highest term is 200 and Range is 140, find the Standard Deviation.

A. 20
B. 60
C. 140
D. 200
E. 300

Source: Experts' Global


Let mean be denoted as M
Highest term = M + 4SD
Lowest term = M - 3SD

Range = 140, i.e.
M + 4sd - M + 3sd = 140
7sd = 140
sd = 20;

or

M+4sd = 200 .. eq 1
Range = 140 --> 200 - Least number = 140 ==> least number = 60
M - 3sd = 60 .. eq 2

Solve for sd from eq 1 and 2; you will get 7sd = 140 and sd = 20;

Now my doubt is - where is 20 in the answer choices ??? or did I make a mistake :cool: :cool:


The correct answer is A.
P.S. Edited the options in the original post.


I have checked the link, Bunuel.
Thank you for ackowledging.
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Posts: 161
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Re: The highest term in a set is 3SD above the Mean. The lowest term is 4S  [#permalink]

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New post 22 Nov 2017, 05:38
Range=Max value-min value
Range=140
Max value=200
200=140-min or Min Value=60
we are given
Mean+3SD=200
Mean-4SD=60
subtract the above 2 equations
7SD=140 or SD=140/7=20
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Re: The highest term in a set is 3SD above the Mean. The lowest term is 4S &nbs [#permalink] 22 Nov 2017, 05:38
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