Interpret the standard deviation in context.

1. How do you interpret standard deviation in context?
2. How do you interpret standard deviation in context AP Stats?
3. What does it mean in context to change the standard deviation?
4. How do you analyze standard deviation?

How do you interpret standard deviation in context?

Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out. A standard deviation close to zero indicates that data points are close to the mean, whereas a high or low standard deviation indicates data points are respectively above or below the mean.

How do you interpret standard deviation in context AP Stats?

A high standard deviation generally means that the data points are widely scattered from the average while a low standard deviation means that the data points are closer to the mean. This allows you to compare results within a population group.

What does it mean in context to change the standard deviation?

If your standard deviation increases, that means you've changed the population and/or what they earn in a way that yields a greater variance—in this case, income disparity.

How do you analyze standard deviation?

The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. If the data points are further from the mean, there is a higher deviation within the data set; thus, the more spread out the data, the higher the standard deviation.