Final answer:
The histogram of sugar content in breakfast cereals is unimodal, as it is symmetrical with a single peak, and the mean, median, and mode are all the same.
Step-by-step explanation:
The histogram displaying the sugar content of 43 brands of breakfast cereals is described as having a symmetrical distribution. In such a distribution, the mean, median, and mode are the same. Given this information, the histogram would exhibit a single peak or mode around the central value, making it unimodal. Symmetry in a histogram suggests that the data is evenly distributed around the central point. If the histogram were bimodal, it would have two distinct peaks. The shape of a histogram can also be skewed if it is not symmetrical. A skewed left distribution indicates more high values and fewer low values. Skewed distributions' means are pulled toward the longer tail of the distribution.
For the specific question regarding the shape of the histogram, since it is described as symmetrical and the mean, median, and mode are equal, we can determine that the histogram is unimodal. Therefore, the answer to the question is: B. The histogram is unimodal.