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

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

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