An instructor has decided to graphically represent the grades on a test.The instructor uses a plus/minus grading system (i.e.she gives grades of A-,B+,etc.).Which of the following would provide the most information for the students?
A)A histogram
B)bar chart
C)A cumulative frequency distribution
D)A frequency distribution
E)A scatter plot

Question

Quizplus · Accepted Answer

A histogram would provide the most information for the students in this scenario. A histogram is a type of bar chart that represents the frequency of a dataset and is particularly useful for showing the distribution of grades. Since the instructor uses a plus/minus grading system, the histogram can have bars representing each grade category (A+, A, A-, B+, B, B-, etc.), showing how many students received each grade.
Here's why the histogram is the best choice among the options provided:
a) A histogram: It allows students to see the distribution of grades across the entire class. It shows how many students fall into each grade category, which can be very informative for understanding how they performed relative to their peers.
b) Bar chart: While a bar chart is similar to a histogram, it is typically used for categorical data that do not have a natural order. Since grades have a natural order (A is higher than B, B is higher than C, etc.), a histogram is more appropriate.
c) A cumulative frequency distribution: This would show the cumulative number of students who received a grade up to a certain point, which can be useful for understanding the proportion of students who scored above or below a certain grade. However, it does not provide as clear a picture of the distribution of individual grades as a histogram does.
d) A frequency distribution: This is essentially the data that would be used to create a histogram. It is a table that lists the number of occurrences for each grade category. While informative, it is not as visually intuitive as a histogram for quickly understanding the distribution of grades.
e) A scatter plot: This type of graph is used to show the relationship between two quantitative variables. Since there is only one variable (grades) in this scenario, a scatter plot would not be appropriate or informative.
In conclusion, a histogram (option a) would be the most informative graphical representation for the students to understand the distribution of their grades on the test.

An Instructor Has Decided to Graphically Represent the Grades on a Test.The