Final answer:
A box-and-whisker plot is a suitable visual display to compare the heights of two different children, as it clearly shows data distribution, range, and outliers, while a scatter plot would not be appropriate for this comparison.
Step-by-step explanation:
To compare the heights of two different children recorded in a chart, a box-and-whisker plot is an excellent visual display. This type of graph can show the distribution of the height data, allowing comparison of the medians, ranges, and any potential outliers between the two sets of data. On the other hand, a scatter plot is not typically used for comparing individual data sets like this, as it is designed to show the relationship between two variables for a set of data.
A box-and-whisker plot would provide a clear visual comparison between the two children's heights. Each child's height data set would be represented by a box indicating the interquartile range (the middle 50% of the data), with 'whiskers' that extend to the smallest and largest values in the data set, unless there are outliers, which are plotted separately.