Page 40 - Basic Statistics
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                     c. Variance:

                            To calculate the variance, first performed the following preliminary

                     count:


                        X = 18 + 3 + . . . + 62  = ……..
                      i

                       X  = 18  + 3  +     ….         + 62   = ……
                          2
                                                           2
                                  2
                                       2
                          i

                                                              2
                                                        n   
                                                        X  
                                              n            i 
                                               X 2    −   i= 1  
                                                  i
                     variance  S          =  i= 1         n
                                     2
                                                    n   1    -
                                      ..........− ((........ ) 2  / 12 )
                                           =
                                              12 − 1


                                           = ……….


                     d.   Standard deviation :

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

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


                     Problem  2.4:

                            Data on 100 student high recorded in Table 2.4. Sort observations from

                     the lowest to the highest observation. Do Tolly to complement the contents of
                     Table 2.5. Furthermore calculate:

                         a.   Range

                         b.   Interquartile range

                         c.   Variance

                         d.  Standard deviation





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