find the mean mode and median of the data 13 14 16 14 11 11 18 13 12 13 15

Dear Student,

Please find below the solution to the asked query:

First we arrange given data in ascending order and get :

11 , 11 , 12 ,  13 , 13 , 13 , 14 , 14 , 15 , 16 , 18

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

Mean of given data  = $\frac{13+14+16+14+11+11+18+13+12+13+15}{11} = \frac{150}{11}$ = 13.63                           ( Ans )

And we know :  Median of given data ( As in data have 11 ( odd number ) of observations ) is the middle value . 

So,

Median of given data  = 13                                                ( Ans )

We know : Mode is the value that is is occurs most number of times , So

Mode of given data  =  13                                                  ( Ans )


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