Q. Find the mean and medium of the following numbers:
155, 160, 145, 149, 150, 147, 152, 144, 148.

Dear Student,

Please find below the solution to the asked query:

First we arrange data in ascending order , And get :

144 , 145 , 147 , 148 , 149 , 150 , 152 , 155 , 160

We know : Mean = $\frac{\mathrm{Sum} \mathrm{of} \mathrm{observations}}{\mathrm{Number} \mathrm{of} \mathrm{observations}}$ , So

Mean of given numbers = $\frac{144 + 145 + 147 + 148 + 149 + 150 + 152 + 155 + 160}{9} = \frac{1350}{9} = \mathbf{150}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)}$

And we know if our data is in odd numbers ( As here we have ' 9 ' numbers and we know 9 is an odd number ) , So the middle number will be our median , So

Median of given numbers  = 149                                                        ( Ans )


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