Final answer:
The question involves analyzing statistical data using histograms to describe data distribution trends and applying concepts like the Central Limit Theorem.
Step-by-step explanation:
The question seems to be revolving around the topic of making sense of statistical data through the use of graphs, such as histograms, and calculations in statistics.
The student is being directed to draw a smooth curve through the tops of the bars of a histogram and to describe the general shape.
Furthermore, the question involves understanding the distribution of data and how it changes with the sample size ('n'). Discussions surrounding approximations and uniform distribution are also indicated.
Regarding the task of describing the curve of a histogram, usually, when you draw a smooth curve through the tops of the bars, it's called a 'frequency curve'.
In the histograms, each bar represents the frequency of data within each interval, and the curve helps in understanding the overall distribution pattern.
In analysis of probability and statistics, comparing the shape of the distributions for both individual data points and the averages of groups of data points can reveal the Central Limit Theorem in action, a key concept in statistics indicating that the distribution of sample means will tend to a normal distribution regardless of the shape of the original distribution, as the size of the samples ('n') increases.