If d is the standard deviation of x, y, z, what is the standard deviation for x+5, y+5, z+5.1. d2. 3d3. 15d4. d+55. d+15

Option 1) d

Step-by-step explanation:

We are given the following information in the question:

The standard deviation of x, y, z = d

We have to find the standard deviation for

x+5, y+5, z+5

If we add or subtract the same amount from every term in the set, the standard deviation doesn't change. Since 5 is added to each term, the standard deviation does not change and remains the same.

The standard deviation of x+5, y+5, z+5 = d

Thus, the correct option is

Option 1) d