IVY Plots and Gaussian Interval Plots

• Activity Number: 75 - SPEED: Data Challenge and SPAAC
• Type: Topic-Contributed
• Date/Time: Monday, August 9, 2021 : 10:00 AM to 11:50 AM
• Sponsor: Section on Statistical Graphics
• Author(s): Jyotirmoy Sarkar and Mamunur Rashid*
• Companies: Indiana University-Purdue University Indianapolis and DePauw University
• Keywords: Five-number summary; Gaussian intervals; Seven-number summary; teaching statistics

Abstract

While a dot plot depicts data on a quantitative variable without distortion, a boxplot shows only the five-number summary. For large data, to aid in counting, we propose an IVY plot as a companion to a dot plot. Also, for large data, if the variable is approximately normally distributed, as a companion to a box plot, we propose a Gaussian Interval plot that depicts the five-number summary, the mean, the SD, the sample size, and the counts of outliers. We hope these enhanced visualizations will add value to the commonly used methods.