Question 41

Boxplot is the graphical display used to examine the distribution of a data set with quartiles.

A boxplot effectively summarizes the key aspects of a data set, including its median, quartiles, and potential outliers, making it the ideal choice for examining the distribution.

A) Bivariate chart

A bivariate chart is used to display the relationship between two variables. It does not provide information about the distribution of a single data set or its quartiles, making it an incorrect choice for this question.

B) Pareto chart

A Pareto chart is a type of bar chart that displays the frequency of problems or causes in descending order. While it helps in identifying the most significant factors, it does not illustrate the distribution of a data set or its quartiles, rendering it unsuitable for this context.

C) Boxplot

A boxplot, also known as a whisker plot, is specifically designed to show the distribution of a data set through its quartiles. It visually represents the minimum, first quartile, median, third quartile, and maximum values, making it the correct choice for examining the distribution of a data set with quartiles.

D) Scatterplot

A scatterplot is utilized to show the relationship between two quantitative variables, displaying data points on a Cartesian plane. It does not convey information about the distribution of a single data set or its quartiles, thus making it an inappropriate option for this question.

Conclusion

The boxplot is definitively the correct answer as it provides a clear visual representation of the distribution of a data set through its quartiles. In contrast, the other options—bivariate chart, Pareto chart, and scatterplot—focus on different aspects of data analysis, failing to illustrate the distribution effectively.