Q 111. - The Practice of Statistics for AP

Question

We used Census At School’s “Random Data Selector” to choose a sample of $50$ Canadian students who completed a survey from $2007-2008$

The bar graph displays data on students’ responses to the question “Which of these methods do you most often use to communicate with your friends?” 

(a) Would it be appropriate to make a pie chart for these data? Why or why not? 

(b) Jerry says that he would describe this bar graph as skewed to the right. Explain why Jerry is wrong. 

Step-by-Step Solution

Answer

Part (a)Yes, the pie chart is appropriate 

part (b) Skewness should not be applied inside Categorical variables  

Part (a) Step 1: Given information

The below graph displays  $50$ Canadian students who responded to theat particular question.

Part (a) Step 2: Concept

Statistical Measures are a descriptive-analytical technique that provides an overview of a data set's properties.

Part (a) Step 3: Explanation

One requirement for constructing the pie chart is that each individual must belong to only one category. Because each individual belongs to only one category, a pie chart is appropriate. As a result, a pie chart is acceptable in this situation.

Part (b) Step 1: Explanation

Jerry claims that the bar graph is tilted to the right. His interpretation of the graph is wrong since bar graphs are designed for categorical variables, and categorical data cannot be arranged in any order. As a result, the idea of skewness cannot be applied to categorical data.