Final answer:
True, a larger standard deviation indicates that data points in a dataset are more spread out from the mean, resulting in a wider range of scores.
Step-by-step explanation:
True. The larger the standard deviation of a variable, the wider its range of scores on either side of the mean. Standard deviation is a measure of variability in a dataset, indicating how much the individual data points are spread out from the average (mean) value. When the standard deviation is small, it means that the data points are clustered close to the mean, showing little variability. Conversely, a large standard deviation indicates that the data points are more widespread, which will result in a broader range of scores on either side of the mean. It is important to understand that the variability in the data is influenced by the method of obtaining data, whether it be through measurement or random sampling. Therefore, a higher standard deviation suggests greater differences among the data points.