If the data in calculating mean is increased by its twice value, does the mean change? Justify your answer with suitable example.

Dear Student,

Please find below the solution to the asked query:

If data is replaced by its twice value mean will also be double .

For example :  We have data : 10 , 20 , 30 , 40 , 50

So,

Mean  = $\frac{10+ 20 + 30 + 40 + 50}{5} = \frac{150}{5} =\mathbf{ }\mathbf{30}$

Now , If data is increased by twice we get : We have data : 20 , 40 , 60 , 80 , 100

So,

Mean  = $\frac{20+ 40 + 60 + 80 + 100}{5} = \frac{300}{5} =\mathbf{ }\mathbf{60}\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{2}\mathbf{ }\mathbf{\times }\mathbf{30}$

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