Displaying and Describing the Distributions of Categorical Variables (VCE SSCE General Mathematics): Quizzes

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Displaying and Describing the Distributions of Categorical Variables
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What is the main purpose of organizing categorical data into a frequency table?

To make patterns easier to identify

What formula calculates percentage frequency?

OccurrencesTotal×100%\frac{\text{Occurrences}}{\text{Total}} \times 100\%

When checking a frequency table, what should the percentages total?

100% or very close due to rounding

Why do bar charts have gaps between the bars?

To show categories are separate & distinct

In a bar chart, what does the vertical axis show?

Frequency (count or percentage)

How are bars arranged in a segmented bar chart?

Stacked vertically to form one column

In a percentage segmented bar chart, what is the total height of the bar?

Always 100%

How do you identify the mode in a frequency table?

The category with the highest frequency

When is the mode particularly useful?

In popularity polls and surveys

What should statistical reports include when analyzing categorical variables?

Context, mode, and percentages

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