Question

What happens to standard deviation as sample size increases

Answer 1

Answer:

Standard deviation decreases

Explanation:

Definitions

Sample size is the number of data points or the range of data points in a given model. On the other hand, standard deviation is defined as the average distance a data point is from the mean of the data. As the sample size increases, the spread of information decreases. This means that the standard deviation also decreases.

Examples

For example, if a data set were to be made of the test scores of one class, the standard deviation would be spread across the grades from 0 to 100. However, if the data is collected from an entire grade, more people would be near the middle and there would be fewer outliers. For this reason, the standard deviation would decrease.