Question

If the standard deviation of $0,1,2,\mathrm{3...9}$ is $K$, then the standard deviation of $10,11,12,\mathrm{13...19}$ is

• A. $K+10$
• B. $K$
• C. $\sqrt{10}+K$
• D. $10K$

Answer 1

The correct option is B $K$

We know that if a constant is added to all the terms, there won't be any change in variance or standard deviation.

If $10$ is added to all the terms of old data we will get new data but for new data standard deviation remains same $=K$