# 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

Please find below the solution to the asked query:

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

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

$\frac{\mathrm{Weight}\mathrm{of}5\mathrm{students}}{5}$ = 51 ,

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

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

$\frac{\mathrm{Weight}\mathrm{of}4\mathrm{students}}{4}$ = 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 )**

Hope this information will clear your doubts about topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards

**
**