If the data for calculating the mean is increased by twice its value, does the mean change ? Explain.

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Solution

Let data : $10, 20, 30, 40, 50$
Mean of the data $= 30$
If data is increased by twice then
Data : $20, 40, 60, 80, 100$
Mean of this data $= 60$
Therefore, the mean gets doubled .
Thus, Mean gets doubled if the data is increased twice .
Hence, the answer of the given question is : YES.

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If the data for calculating the mean is increased by twice its value, does the mean change ? Explain.

Let data : 10,20,30,40,50Mean of the data =30If data is increased by twice thenData : 20,40,60,80,100Mean of this data =60Therefore, the mean gets doubled .Thus, Mean gets doubled if the data is increased twice .Hence, the answer of the given question is : YES.

Let data : $10, 20, 30, 40, 50$
Mean of the data $= 30$
If data is increased by twice then
Data : $20, 40, 60, 80, 100$
Mean of this data $= 60$
Therefore, the mean gets doubled .
Thus, Mean gets doubled if the data is increased twice .
Hence, the answer of the given question is : YES.