Question

In: Math

Find the mean and the Variance of the following sample data:             x Frequency (f) 1...

  1. Find the mean and the Variance of the following sample data:

           

x

Frequency (f)

1

5

2

6

4

9

8

6

12

4

Solutions

Expert Solution

x                    f                   fx                    x2                     fx2

1                   5                   5                    1                        5

2                   6                  12                   4                        24

4                   9                  36                   16                      144

8                  6                   48                   64                      384

12               4                  48                   144                   576

Total            30                 149                                            1133

Mean =

              = 149/30 = 4.97

Variance s^2 =

                    

                    = 13.5506


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