Final answer:
The student must create histograms to represent data, adjust histogram scales, understand why different histograms might not match, and consider how changing bar widths could alter visual data interpretation.
Step-by-step explanation:
The student is tasked with creating histograms to represent the relative frequencies of data collected from surveys by different publishers. To generate a histogram by hand or using technology, the student should first find the frequency for each category and write them into a chart. While constructing histograms for Publishers A and B, the bar widths should be 1, but for Publisher C, the bar widths should be 2, changing the scale of the histogram.
Two reasons why histograms for Publishers A and B might not be identical could relate to variations in survey methodologies or sample sizes, which can lead to different data distributions. The histograms would represent these differences visually. As for Publisher C, the expectation of the histogram's appearance would depend on whether the survey data is similar to the other two publishers. If Publisher C collected data that followed a different distribution or used different survey intervals, then the histogram might not look the same.
Lastly, if the student remakes histograms for Publisher A and B with bar widths of 2, it will result in fewer, broader bars, which might amalgamate some data points and provide a different visual interpretation of the data spread.