Which of the following statements about pie charts is false?Group of answer choicesThe area of each slice of a pie chart is proportional to the relative frequency of the corresponding category.Pie charts are usually used to display the relative sizes of categories for qualitative data.Pie charts can only be used for nominal data.Pie charts always have the shape of a circle.
Question
Which of the following statements about pie charts is false?Group of answer choicesThe area of each slice of a pie chart is proportional to the relative frequency of the corresponding category.Pie charts are usually used to display the relative sizes of categories for qualitative data.Pie charts can only be used for nominal data.Pie charts always have the shape of a circle.
Solution
Let's evaluate each of the given statements:
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The area of each slice of a pie chart is proportional to the relative frequency of the corresponding category: This statement is true. In a pie chart, each slice represents a category, and the size of the slice is proportional to the frequency or percentage of that category in the whole data set.
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Pie charts are usually used to display the relative sizes of categories for qualitative data: This statement is true. Pie charts are often used to represent the distribution of qualitative or categorical data.
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Pie charts can only be used for nominal data: This statement is false. Pie charts can be used for both nominal and ordinal data. Nominal data is categorized without any order or priority (like types of fruits), while ordinal data has a specific order (like movie ratings from poor to excellent).
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Pie charts always have the shape of a circle: This statement is true. The term "pie" in pie chart refers to its circular shape, which is divided into "slices" to represent data.
So, the false statement is: "Pie charts can only be used for nominal data."
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