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Sample-IQR and standard deviation

Sample Standard Deviation vs. Population Standard DeviationCalculating mean and standard deviation of very large sample sizesWhy is my sample standard deviation not an unbiased estimator?Comparing sample and population standard deviationSample standard deviation and population standard deviationStatistical test to evaluate if sample standard deviation differs from population standard deviation?Estimating population standard deviation with sample standard deviationsample standard deviation given population standard deviationShouldn't sample standard deviation DECREASE with increased sample size?Bessel's correction for standard deviation

0

$begingroup$

Is there a sample such that the standard deviation is greater than IQR? Whether there is a
a sample such that the standard deviation is significantly smaller than IQR?

statistics standard-deviation

share|cite|improve this question

asked 2 days ago

Alicja CAlicja C

14

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Did you try generating some datasets?
  $endgroup$
  – Minus One-Twelfth
  2 days ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yes but i have no idea
  $endgroup$
  – Alicja C
  2 days ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Try generating some small datasets. Basically if you want to get a large standard deviation, try using extreme values at the tails. To get a small standard deviation, you will want to have low variation in your data.
  $endgroup$
  – Minus One-Twelfth
  2 days ago
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  May be 0,1,1,1,1,99?
  $endgroup$
  – Alicja C
  2 days ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Well done! With something like that, you can get a $0$ IQR and make the sample standard deviation as large as you like.
  $endgroup$
  – Minus One-Twelfth
  2 days ago
  
  

  
  
  
  

 | 
show 1 more comment

0

$begingroup$

Is there a sample such that the standard deviation is greater than IQR? Whether there is a
a sample such that the standard deviation is significantly smaller than IQR?

statistics standard-deviation

share|cite|improve this question

asked 2 days ago

Alicja CAlicja C

14

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Did you try generating some datasets?
  $endgroup$
  – Minus One-Twelfth
  2 days ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Yes but i have no idea
  $endgroup$
  – Alicja C
  2 days ago
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Try generating some small datasets. Basically if you want to get a large standard deviation, try using extreme values at the tails. To get a small standard deviation, you will want to have low variation in your data.
  $endgroup$
  – Minus One-Twelfth
  2 days ago
  
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  May be 0,1,1,1,1,99?
  $endgroup$
  – Alicja C
  2 days ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Well done! With something like that, you can get a $0$ IQR and make the sample standard deviation as large as you like.
  $endgroup$
  – Minus One-Twelfth
  2 days ago
  
  

  
  
  
  

 | 
show 1 more comment

$begingroup$

Is there a sample such that the standard deviation is greater than IQR? Whether there is a
a sample such that the standard deviation is significantly smaller than IQR?

statistics standard-deviation

share|cite|improve this question

asked 2 days ago

Alicja CAlicja C

14

$endgroup$

share|cite|improve this question

asked 2 days ago

Alicja CAlicja C

14

share|cite|improve this question

asked 2 days ago

Alicja CAlicja C

14

asked 2 days ago

Alicja CAlicja C

14

asked 2 days ago

Alicja CAlicja C

14