Final answer:
The distribution with the largest standard deviation would be the one that is more spread out and has data points that are more dispersed from the mean. A normal distribution that is wider and flatter suggests a larger standard deviation compared to one that is steeper and more concentrated around the mean.
Step-by-step explanation:
The question pertains to understanding which of the given distributions has the largest standard deviation. When determining the standard deviation, we are looking at how spread out the data is around the mean.
A larger standard deviation indicates more spread, meaning the values are more dispersed from the mean. In a histogram, a distribution that is more spread out and has data that is more varied will have a larger standard deviation compared to a distribution that is more clustered around the mean.
Although the provided options are incomplete and appear out of context, we can infer that a normal distribution with the same mean can have different standard deviations.
If the distribution is wider and flatter, it has a larger standard deviation. If it is steeper and more concentrated towards the mean, it has a smaller standard deviation.
Given the context, option C (normal distribution with a larger standard deviation) would suggest a larger standard deviation than option D (smaller standard deviation).