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रविवार, 15 मार्च 2020

Elements of Statistics(BCA-III)

BCA-III

Elements of Statistics

Here is the list of all the Solution

UNITS -I(Hand-written Notes)

Population, Sample and Data Condensation
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Definition and scope of statistics      
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 concept of population     
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 simple with Illustration       
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Raw data
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attributes and variables         
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 classification     
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frequency distribution       
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Cumulative frequency distribution                                          
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UNITS -II(Hand-written Notes)

Concept of central Tendency
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requirements of good measures of central tendency      
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 Arithmetic mean     
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Median        
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Mode
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 Harmonic Mean        
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 geometric mean for grouped and ungrouped data        
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UNITS -III(Hand-written Notes)

Concept of dispersion
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Absolute and relative measure of dispersion                       
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 range variance     
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Standard deviation        
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Coefficient of variation
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UNITS -IV(Hand-written Notes)

Permutations and Combinations
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Permutations of ‘n’ dissimilar objects taken 
‘r’ at a time (with or without repetitions)      
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nPr = n!/(n-r) !(without proof)      
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 Combinations of ‘r’ objects taken from ‘n’ objects                 
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nCr = n!/(r!(n-r)!) (without proof)
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 Simple examples            
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 Applications      
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UNITS -V(Hand-written Notes)

Sample space, Events, and Probability
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Experiments and random experiments      
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Ideas of deterministic and non-deterministic experiments      
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Definition of sample space        
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discrete sample space,
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events; Types of events         
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Union and intersections of two or more events      
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mutually exclusive events       
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Complementary & Exhaustive event; examples       
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Classical definition of probability       
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Addition theorem of probability without Proof      
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Definition of conditional probability       
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Definition of independence of two events     
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simple numerical problems   
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UNITS -VI(Hand-written Notes)

Statistical Quality Control
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Introduction, control limits      
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specification & tolerance limits  
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process and product control       
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Control charts for X and R
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Control charts for number of defective {n-p chart}                    
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control charts for number of defects {c - chart}      
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