# The mean weight of five student is 51 kg and the mean weight of four students 54 kg.The mean weight of nine student will be ---Option 1.less than 52 kg 2.more than 53 3.between 52kg and 53kg

Dear Student,

We know :  Mean  =

As given : The mean weight of five student is 51 kg , So

= 51  ,

Weight of 5 students =  255 kg                                --- ( 1 )

And given :  The mean weight of four students 54 kg , So

= 54  ,

Weight of 4 students =  216 kg                                --- ( 2 )

Now we add equation 1 and 2 and get :

Weight of 9 students =  471 kg

Then,

Mean weight of 9 students = $\frac{471}{9}$ = 52.33

And we can see that :  52 < 52.33 < 53

Therefore,

Option ( 3 )                                                        ( Ans )