Which of the following best describes the difference between and in a frequency distribution?
A
is the total number of observations, while is the proportion of observations in each class.
B
shows the proportion of observations in each class, while shows the total number of observations up to and including each class.
C
is used only for qualitative data, while is used only for quantitative data.
D
and both represent the total number of observations in all classes.
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검증된 단계별 안내
1
Step 1: Understand the concept of relative frequency. Relative frequency represents the proportion or percentage of the total number of observations that fall within a particular class or category. It is calculated by dividing the frequency of a class by the total number of observations.
Step 2: Understand the concept of cumulative frequency. Cumulative frequency is the running total of frequencies up to and including a particular class. It shows how many observations fall within or below a certain class boundary.
Step 3: Compare the two concepts. Relative frequency focuses on the proportion within each individual class, while cumulative frequency accumulates counts from the first class up to the current class.
Step 4: Recognize that relative frequency is expressed as a proportion or percentage, whereas cumulative frequency is expressed as a count or total number of observations.
Step 5: Conclude that the correct description is: Relative frequency shows the proportion of observations in each class, while cumulative frequency shows the total number of observations up to and including each class.