Krishna
0

Step 1:  Know about the outlier.

              NOTE: An outlier is an extreme value in a data set that is either much

              larger or much smaller than all the other values.


                       GIVEN:  9, 70, 82, 65, 41, 59, 98, 57, 84, 63


Step 2: Identify the outlier

             look for the value that is either much larger or much smaller than all the

             other values. The value 9 is an outlier because it is much smaller than all

             other values.

                            Outlier is "9"


Step 3:  Find the mean after removing the outlier.

                      9, 70, 82, 65, 41, 59, 98, 57, 84, 63


                      Mean = \frac{\text{ Sum of the variables}}{\text{Total number of variables}}


                  Sum of the numbers = 628

                  There are 10 numbers


                   So,  Mean = \frac{628}{10}


                        Mean = 62. 8


          Remove the outlier and find the mean

                          Remove outlier 9 from the numbers  

                    70, 82, 65, 41, 59, 98, 57, 84, 63  


                        Sum of the numbers = 619

                        There are 9 numbers

                        Mean = \frac{619}{9}

                          Mean = 68.777777


              Hence, removing the outlier causes the mean to increase.