Page 42 - Basic Statistics
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                                  f c
                     Q1 = L q 1   +    f q 1 1  .     W
                                         q
                                           1


                                  ......    -    ........
                     Q1 = ........+            .     ......   =    ..........  +   .........   =   ........
                                     ......  



                            Q3  lies in the (3n/4)th observation, where 3n /4 = .......... = ..... .

                     In the column of cumulative frequencies, the .....th observation contained in the

                     class “ ....... - ....... “. thus,


                                  f c
                     Q3 =  L q 3  +    f q 3 3  .     W q 3



                                 
                     Q3 = ........+   ......    -    ........    .     ......   =    ..........  +   .........   =   ........
                                     ......  


                     Interquartile range = Q3 – Q1 = ……. – ……. = …….



                     Variance :

                               p                p   2  
                                                           
                                             
                                        2
                                 f i ( X i ) −   f i X i   n   / 
                                                      
                                             
                               i= 1           i  = 1    
                        2
                       S    =                             
                                           n − 1
                               .......... .....    -    ((........ ...) 2  / .......)
                            =
                                        ..........− 1

                            = ………


                            The standard deviation is the square root of the variance. If you have
                                          2
                     obtained variance S  = ……..  then the standard deviation is

                            S =  ..........  = …….
                                          ...








                                 ~~* CHAPTER  2    NUMERICAL MEASURES TO SUMMARIZE DATA *~~
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