Final answer:
When n doubles, σn will also double.
Step-by-step explanation:
When n doubles, σn will also double.
Standard deviation (σ) measures the dispersion or spread of a set of values around its mean. Doubling the value of n will result in a larger spread of values, which means the standard deviation will also increase.
For example, let's say we have a dataset of n numbers and the standard deviation of that dataset is σn. If each value in the dataset is multiplied by 2, the spread of values will be larger, resulting in a standard deviation of 2σn.