1.

For what value of x, the mean of the given observations 2x – 5, x + 3, 7 – x, 5 – x andx + 9 with frequencies 2, 3, 4, 6 and 1 respectively is 4.

Answer»

ANSWER:

Step-by-step explanation:

Value of x = 1.

Step-by-step explanation:

We are given the following data below;

       X                  frequency (f)               X*f

   2*x - 5                     2                         4*x - 10

     x + 3                       3                         3*x + 9

     7 - x                        4                         28 - 4*x

     5 - x                        6                         30 - 6*x

     x + 9                        1                           x + 9

Here, ∑f = 2 + 3 + 4 + 6 + 1 = 16

∑X*f = 4*x - 10 + 3*x + 9 + 28 - 4*x + 30 - 6*x + x + 9 = 66 - 2*x

Now, Mean of data, X BAR =

                                4  =  

                             64 = 66 - 2*x

                             2*x = 66 - 64

                              x = 2/2 = 1

Therefore, value of x is 1.

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