Final answer:
True, a large standard deviation indicates that the data points in a dataset are widely spread out and show greater variability in comparison to the mean.
Step-by-step explanation:
True. A large standard deviation indicates that the data points are spread out over a wide range of values. The standard deviation is a measure of the spread of data. When the data values show more variation from the mean, the standard deviation will be larger. This variation is a reflection of how much the individual data points differ from the mean value.
A small standard deviation occurs when data points are clustered closely to the mean, indicating less variability. Conversely, a large standard deviation reflects more dispersion in the data points. When the standard deviation is zero, it suggests that all the data points are the same; however, when the standard deviation is significantly larger than zero, it indicates a broad spread and that the data points are very spread out about the mean.
Outliers, or extreme values, can also significantly affect the standard deviation, inflating it if they are far removed from the rest of the data.