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                    | 
            Results for: | 
                    
                        Richard Nikoley | 
                
                
                    | 
            Questions Answered Correctly: | 
                    
                        22 | 
                
                
                    | 
            Total Test Questions: | 
                    
                        36 | 
                
                
                    | 
            Questions Not Answered: | 
                    
                        0 | 
                
                
                    | 
                        Test Standard Deviation: | 
                    
                        15 IQ points | 
                
                
                    | 
            IQ Score: | 
                    
                        132 | 
                
                
                    | 
            IQ Percentile: | 
                    
                        98.4 | 
                
            
            
            
            
             
            
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            IQ Basics
       
       
     
	 	
		  
	 	    
	 	Graph drawn in Excel using the NORMDIST function.
		  
 	
 
    What is intelligence? The definition I like is that intelligence 
      is "the ability to learn or understand or to deal with new or trying situations 
      ... also : the skilled use of reason" (7). I have heard some people 
      misuse the word smart to mean knowledgeable. That is like confusing velocity 
      with distance. That one can lead to the other does not mean that they 
      are the same thing, especially in societies where education is not universal.
     
    I.Q. = Intelligence Quotient
     
     Originally, "IQ" tests were created to be able to identify children 
      who might need special education (1). 
      Binet's test included varied questions and tasks. The tasks even included 
      unwrapping a piece of candy and comparing the weights of different objects (4)! 
      
    To relate the mental 
      development of a child to the child's chronological age the IQ was 
      invented.  IQ =    
      
       (MA/CA)         
      * 100. The intelligence quotient was equal to 100 times the Mental Age divided 
      by the Chronological Age.  For example, if a certain child started reading, etc., at 
      the age of 3 (CA) and average children start reading, etc., at the age 
      of 6 (MA), the child would get an IQ score of 200. (Such a score is 
      very, very rare). Since people wanted to also use IQs for adults, 
      that formula was not very useful since raw scores start to level off around 
      the age of 16 (2).
     
    Thus the deviation IQ replaced the 
      ratio IQ. It compares people of the same age or age category and assumes 
      that IQ is normally distributed, that the average (mean) is 100 and that the 
      standard deviation is something like 15. (IQ tests sometimes differ in their standard deviations).  
     
     
    What is a standard deviation (SD)? Simply put, the standard 
      deviation is a measure of the spread of the sample from the mean. As 
      a rule of thumb, about 2/3 of a sample is within 1 standard deviation 
      from the mean. About 95% of the sample will be within 2 standard deviations 
      from the mean (3).
     
    With the standard deviation and a mean, you can calculate 
      percentiles. Percentiles tell you the percent of people that have a score 
      equal to or lower than a certain score.
    
      High IQ societies ask 
        for certain percentile scores on IQ tests for you to be eligible to join them. Mensa asks for scores at the 98th percentile or higher. For a list of the selection 
        criteria of other societies, click 
          here.
     
    There have been various classification systems for IQ.
     
    Terman's classification was (6):
     
    
      
        
          | IQ Range | 
          Classification  | 
        
        
          | 140 and over | 
          Genius or near genius | 
        
        
          | 120-140 | 
          Very superior intelligence | 
        
        
          | 110-120 | 
          Superior intelligence | 
        
        
          | 90-110 | 
          Normal or average intelligence | 
        
        
          | 80-90 | 
          Dullness | 
        
        
          | 70-80 | 
          Borderline deficiency | 
        
        
          | Below 70 | 
          Definite feeble-mindedness | 
        
      
     
     
    (Terman wrote the Stanford-Binet test (1), which has a SD of 16.) 
     
    Later, Wechsler thought that it would be much more legitimate to base 
      his classifications on the Probable Error (PE) so his classification was 
      (6):
     
    
      
        
          | Classification  | 
          IQ Limits | 
          Percent Included  | 
        
        
          | Very Superior | 
          128 and over | 
          2.2 | 
        
        
          | Superior | 
          120-127 | 
          6.7 | 
        
        
          | Bright Normal | 
          111-119 | 
          16.1 | 
        
        
          | Average | 
          91-110 | 
          50 | 
        
        
          | Dull Normal | 
          80-90 | 
          16.1 | 
        
        
          | Borderline | 
          66-79 | 
          6.7 | 
        
        
          | Defective | 
          65 and below | 
          2.2 | 
        
      
     
    Mental deficiency used to be more finely classified using 
      the following technical terms that later began to be abused by the 
      rest of society (5):
    
    
      
        | IQ Range | 
        Classification | 
      
      
        | 70-80 | 
        Borderline deficiency | 
      
      
        | 50-69 | 
        Moron | 
      
      
        | 20-49 | 
        Imbecile | 
      
      
        | below 20 | 
        Idiot | 
      
    
	
    These are now 
		obsolete. The terms 'mentally retarded' and 'mental retardation' were officially replaced by 'intellectual 
		disabled' and 'intellectual 
		disability' by Rosa's Law in 2010. Before the fifth edition of the Diagnostic and 
		Statistical Manual (DSM 5), which now uses the terms 'intellectual disability 
		(intellectual developmental disorder)', the following was the classification of retardation in the USA (5):
  
    | IQ Range | 
    Classification | 
  
  
    | 50-69 | 
    Mild | 
  
  
    | 35-49 | 
    Moderate | 
  
  
    | 20-34 | 
    Severe | 
  
  
    | below 20 | 
    Profound | 
  
While IQ is still part of the assessment (the threshold is 70 ± the measurement 
	error of the particular test), the DSM 5 has replaced those IQ ranges with 
	assessments of functioning, with conceptual, social, and practical criteria (8). IQ is not enough. Maybe the same sort of 
  thing should be done for labeling somebody a genius.
  
 
 References
 (1) Berk, L.E. (1997). Child Development, 4th ed. Toronto: Allyn 
  and Bacon.
 (2) Eysenck, H. (1994). Test Your IQ. Toronto: 
  Penguin Books.
(3) Iman, R.L. (1994). A Data Based Approach to Statistics. Belmont: Duxbury Press.
(4) Nietzel, M.T., Berstein, D.A., Milich R. (1998). Introduction to 
  Clinical Psychology. Upper Saddle River: Prentice Hall.
(5) Reber, A.S. (1995).  The Penguin Dictionary of Psychology, 2nd ed.  
  Toronto: Penguin Books.
(6) Wechsler, D. (1944).  The Measurement of Adult Intelligence.  
  Baltimore:  The Williams & Wilkins Company.
(7) The Merriam-Webster Dictionary Online: 
    http://m-w.com/cgi-bin/dictionary?book=Dictionary&va=intelligence
		
(8) Diagnostic and Statistical Manual of Mental Disorders, Fifth Edition. 
			Arlington, VA, American Psychiatric Association, 2013.
 
Written by Rodrigo de la Jara. Updated December 17, 2018.
 
    
    
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