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The standard deviation of a normal distribution of data is 2

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The standard deviation of a normal distribution of data is 2 [#permalink] New post 16 Aug 2010, 10:15
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69% (01:39) correct 31% (00:40) wrong based on 180 sessions
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?

A. 46
B. 47
C. 48
D. 49
E. 50
[Reveal] Spoiler: OA

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Re: Statistics question [#permalink] New post 16 Aug 2010, 10:21
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aiming4mba wrote:
The standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 43. What is a possible value for the mean of the distribution?

a.46
b.47
c.48
d.49
e.50


The standard deviation ({SD}) = 2;

3 standard deviations below the mean is greater than 43:

{Mean} - 3*{SD} > 43;
{Mean} - 6 > 43;
{Mean} > 49.

Answer: E.
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Re: The standard deviation of a normal distribution of data is 2 [#permalink] New post 27 Sep 2013, 01:54
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Re: The standard deviation of a normal distribution of data is 2 [#permalink] New post 27 Sep 2013, 03:25
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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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Re: The standard deviation of a normal distribution of data is 2 [#permalink] New post 04 May 2014, 02:29
Hello Bunuel,
Could you mind explaining what "2 (or 3) deviation below/above mean' means? I could apply formula to solve such question but I don't really understand the nature of the problem?

Thank you indeed,
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Re: The standard deviation of a normal distribution of data is 2 [#permalink] New post 04 May 2014, 07:39
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yenh wrote:
Hello Bunuel,
Could you mind explaining what "2 (or 3) deviation below/above mean' means? I could apply formula to solve such question but I don't really understand the nature of the problem?

Thank you indeed,


The standard deviation of a set is some number as well as the mean. We are told that 3 standard deviations below the mean is greater than 43. 3 standard deviations below the mean is {Mean} - 3*{SD}, which we are told that is greater than 43.

Hope that similar questions given here will help to understand better.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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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Re: The standard deviation of a normal distribution of data is 2   [#permalink] 04 May 2014, 07:39
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