Krishna
0

Step 1:  Calculate the mode of the given data

                  Arrange the given data either ascending or descending order

                    GIVEN: 3. 12, 11, 7, 5, 5, 6, 4, 10

              Ascending order:

                             3, 4, 5, 5, 6, 7, 10, 11, 12

            Count how many times each number appears.

                               3 - 1 time

                              12 - 1 times

                              11 - 1 time

                                7 - 1 time

                                5 - 2 time

                10, 11, 12, - each 1 time


          The number that appears most often is 5.

           The mode of the numbers  = 5


Step 2: Determine the median of the given data

                  3. 12, 11, 7, 5, 5, 6, 4, 1

              Ascending order:

                            3, 4, 5, 5, 6, 7, 10, 11, 12


            There are 9 observations

              So, n = 9 odd

              Median = \frac{n+1}{2} = \frac{9+1}{2} = 5^{th} term


            Hence, Median = 6


Step 3:  Find the mean of the given data  

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


                    Sum of variables =  3 + 12 + 11 + 7 + 5 + 5 + 6 + 4 + 1 = 63


                    Total number of variables = 9


            Mean = \frac{63}{9}


            Mean = 7


Hence, Mode is 5, median is 6 and mean is 7

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