The standard deviation of 10 observations is 4. If each observation is divided by 2, then new standard deviation will be
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Given : The standard deviation of 10 observations is 4 each observation is divided by 2
To find : new standard deviation
Solution:
Standard Deviation = √(Σ(X - Mean)² / n )
The standard deviation of 10 observations is 4
If each observation is divided by 2
then X will be X/2
& mean will be Mean / 2
=> (X - Mean )² = (1/2)² = 1/4 times
√ 1/4 = 1/2
Hence new standard deviation will be existing standard deviation /2
= 4/2
= 2
new standard deviation = 2
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