Question 8

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

A boxplot provides a visual summary of the central tendency, variability, and the distribution of a data set by displaying its quartiles. This graphical display effectively highlights the median, upper, and lower quartiles, making it ideal for analyzing the spread and skewness of the data.

A) Boxplot

The boxplot is the most suitable choice for examining the distribution of a data set with quartiles. It divides the data into four equal parts using the first quartile (Q1), median (Q2), and third quartile (Q3), allowing for quick visual interpretation of the data's spread and any potential outliers.

B) Pareto chart

A Pareto chart is primarily used to identify the most significant factors in a data set by displaying frequencies in descending order. While it can provide insights into the distribution of categorical data, it does not focus on quartiles or the overall distribution of numerical data sets.

C) Bivariate chart

A bivariate chart is designed to display the relationship between two variables, typically using scatter plots or line graphs. It does not provide information about quartiles or the distribution of a single data set, making it unsuitable for the question posed.

D) Scatterplot

A scatterplot illustrates the relationship between two quantitative variables but does not facilitate the examination of quartiles or the distribution of a single data set. It is primarily used to identify trends, correlations, or patterns rather than to summarize distribution characteristics.

Conclusion

The boxplot is definitively the correct answer as it specifically visualizes the distribution of a data set using quartiles, highlighting essential statistical measures. In contrast, the other options focus on different aspects of data representation and analysis, failing to meet the requirements of the question regarding quartiles and distribution.