Variance And Standard Deviation

We are given that the standard deviation of 25 numbers is .
We are also told that each of the numbers is increased by 5.
Step 1: Understand the impact of adding a constant to the data
Adding a constant (in this case, 5) to each data point in a set does not change the spread of the data.
Therefore, the new standard deviation remains the same.
Step 2: Conclusion
Since the addition of a constant does not affect the standard deviation, the new standard deviation will be the same as the original standard deviation, which is .
Thus, the correct answer is option (a).